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Adinkras.bib
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Adinkras.bib
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Kevin Iga at 2016-01-01 23:48:13 -0800
%% Saved with string encoding Unicode (UTF-8)
@article{general-1d,
Author = {Doran, C. F. and H\"ubsch, T. and Iga, K. and Landweber, G. D.},
Date-Added = {2016-01-02 07:46:04 +0000},
Date-Modified = {2016-01-02 07:48:13 +0000},
Journal = {Symmetry},
Pages = {67-88},
Title = {On General Off-Shell Representations of Worldline (1D) Supersymmetry},
Volume = {6},
Year = {2014}}
@article{remains,
Author = {{Gates Jr.}, S. J. and Phillips, J. and Linch, W.D. and Rana, L.},
Date-Added = {2016-01-02 07:25:49 +0000},
Date-Modified = {2016-01-02 07:27:18 +0000},
Journal = {Gravitation and Cosmology},
Number = {1-2},
Pages = {96-100},
Title = {The Fundamental Supersymmetry Challenge Remains},
Volume = {8},
Year = {2002}}
@unpublished{enuf,
Author = {{Gates Jr.}, S. J. and Linch, W.D. and Phillips, J.},
Date-Added = {2016-01-02 07:14:27 +0000},
Date-Modified = {2016-01-02 07:18:47 +0000},
Month = {November},
Note = {http://arxiv.org/abs/hep-th/0211034},
Title = {When Supersymmetry is not Enough},
Year = {2002}}
@book{wess-bagger,
Author = {Wess, Julius and Bagger, Jonathan},
Date-Added = {2016-01-02 07:12:13 +0000},
Date-Modified = {2016-01-02 07:13:42 +0000},
Publisher = {Princeton University Press},
Title = {Supersymmetry and Supergravity},
Year = {1992}}
@misc{hubsch:continuum,
Author = {Tristan H\"ubsch and Gregory A. Katona},
Eprint = {arXiv:1310.3256},
Howpublished = {\url{arXiv:1310.3256}},
Title = {A $Q$-continuum of off-shell supermultiplets},
Url = {http://http://arxiv.org/abs/1310.3256},
Year = {2013},
Bdsk-Url-1 = {http://http://arxiv.org/abs/1310.3256}}
@article{zhang:adinkras,
Author = {Yan {X} Zhang},
Journal = {Transactions of the American Mathematical Society},
Number = {6},
Pages = {3325--3355},
Title = {Adinkras for mathematicians},
Volume = {366},
Year = {2014}}
@article{faux:spin_holography,
Archiveprefix = {arXiv},
Arxivid = {hep-th/0907.4543},
Author = {Faux, M. G. and Landweber, G. D.},
Doi = {10.1016/j.physletb.2009.10.014},
Eprint = {0907.4543},
File = {:home/yan/Documents/Mendeley Desktop/Faux, Landweber - Spin holography via dimensional enhancement.pdf:pdf},
Journal = {Physics Letters B},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Month = oct,
Pages = {161--165},
Primaryclass = {hep-th},
Title = {{Spin holography via dimensional enhancement}},
Volume = {681},
Year = {2009},
Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.physletb.2009.10.014}}
@misc{pilaud:observation,
Annote = {Private communcation},
Author = {Pilaud, V and Stump, C},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{No Title}}}
@article{d2l:graph-theoretic,
Archiveprefix = {arXiv},
Arxivid = {arXiv:math-ph/0512016v2},
Author = {Doran, C. F. and Faux, M. G. and S. J. {Gates Jr.} and H\"ubsch, T and Iga, K. and Landweber, G. D.},
Eprint = {0512016v2},
Issn = {0217-751X},
Journal = {International Journal of Modern Physics},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Number = {5},
Pages = {869--930},
Primaryclass = {arXiv:math-ph},
Title = {{On graph-theoretic identifications of Adinkras, supersymmetry representations and superfields}},
Url = {http://www.worldscientific.com/doi/abs/10.1142/S0217751X07035112},
Volume = {22},
Year = {2007},
Bdsk-Url-1 = {http://www.worldscientific.com/doi/abs/10.1142/S0217751X07035112}}
@article{Schulze2008,
Archiveprefix = {arXiv},
Arxivid = {arXiv:cond-mat/0409679v1},
Author = {Schulze, Christian},
Eprint = {0409679v1},
File = {:home/yan/Documents/Mendeley Desktop/Schulze - Potts-like model for ghetto formation in multi-cultural societies.pdf:pdf},
Keywords = {adinkras,combinatorics,dynamics,phase separation,schelling model,sociophysics},
Mendeley-Tags = {adinkras,combinatorics},
Pages = {1--6},
Primaryclass = {arXiv:cond-mat},
Title = {{Potts-like model for ghetto formation in multi-cultural societies}},
Year = {2008}}
@article{lieb:square_ice,
Author = {Lieb, EH},
File = {:home/yan/Documents/Mendeley Desktop/Lieb - Residual entropy of square ice.pdf:pdf},
Journal = {Physical Review},
Keywords = {adinkras,combinatorics},
Mendeley-Tags = {adinkras,combinatorics},
Number = {1966},
Title = {{Residual entropy of square ice}},
Url = {http://prola.aps.org/abstract/PR/v162/i1/p162_1},
Volume = {1484},
Year = {1967},
Bdsk-Url-1 = {http://prola.aps.org/abstract/PR/v162/i1/p162_1}}
@article{Gates,
Archiveprefix = {arXiv},
Arxivid = {arXiv:0902.3830v4},
Author = {{Gates Jr}, SJ and Gonzales, James},
Eprint = {arXiv:0902.3830v4},
File = {:home/yan/Documents/Mendeley Desktop/Gates Jr, Gonzales - 4D,= 1 supersymmetry genomics (I).pdf:pdf},
Journal = {Journal of High \ldots},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{4D,= 1 supersymmetry genomics (I)}},
Url = {http://iopscience.iop.org/1126-6708/2009/12/008},
Year = {2009},
Bdsk-Url-1 = {http://iopscience.iop.org/1126-6708/2009/12/008}}
@article{Kaplan2012,
Archiveprefix = {arXiv},
Arxivid = {arXiv:1205.1277v1},
Author = {Kaplan, Nathan},
Eprint = {arXiv:1205.1277v1},
File = {:home/yan/Documents/Mendeley Desktop/Kaplan - MACWILLIAMS IDENTITIES FOR m-TUPLE WEIGHT ENUMERATORS.pdf:pdf},
Keywords = {adinkras,and phrases,linear code,macwilliams theorem,weight enumerator},
Mendeley-Tags = {adinkras},
Pages = {1--15},
Title = {{MACWILLIAMS IDENTITIES FOR m-TUPLE WEIGHT ENUMERATORS}},
Year = {2012}}
@article{salas:fifth,
Archiveprefix = {arXiv},
Arxivid = {cond-mat.stat-mech/0711.1738},
Author = {Salas, J and Sokal, A D},
Eprint = {0711.1738},
Journal = {Journal of Statistical Physics},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {279--373},
Primaryclass = {cond-mat.stat-mech},
Title = {{Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. V. Further Results for the Square-Lattice Chromatic Polynomial}},
Volume = {135},
Year = {2009}}
@incollection{thomas:survey,
Annote = {2.1 a digraph is even iff it contains a weak odd double-cylce
4.1 if all but <= vertices in strongly 2-connected digraph has outdeg >=3, then D is even},
Author = {Thomas, R},
Booktitle = {Proceedings oh the International Congress of Mathematicians},
File = {:home/yan/Documents/Mendeley Desktop/Thomas - A survey of Pfaffian orientations of graphs.pdf:pdf},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {963--984},
Publisher = {Eur. Math. Soc., Z\"{u}rich},
Title = {{A survey of Pfaffian orientations of graphs}},
Url = {http://dialnet.unirioja.es/servlet/articulo?codigo=3140487},
Year = {2006},
Bdsk-Url-1 = {http://dialnet.unirioja.es/servlet/articulo?codigo=3140487}}
@article{Galvin2004,
Author = {Galvin, David},
File = {:home/yan/Documents/Mendeley Desktop/Galvin - On weighted graph homomorphisms.pdf:pdf},
Keywords = {adinkras,combinatorics},
Mendeley-Tags = {adinkras,combinatorics},
Pages = {1--11},
Title = {{On weighted graph homomorphisms}},
Year = {2004}}
@article{The2010,
Author = {The, Motivation and Gardens, Hanging and Sequence, Main and Please, The Hunch},
File = {:home/yan/Documents/Mendeley Desktop/The et al. - On Supersymmetry Representation Generating ( Eden ) Algebras.pdf:pdf},
Journal = {Main},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {1--4},
Title = {{On Supersymmetry Representation Generating ( Eden ) Algebras}},
Year = {2010}}
@book{stanley:ec1,
Address = {Cambridge},
Author = {Stanley, R P},
Isbn = {0-521-55309-1; 0-521-66351-2},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {xii+325},
Publisher = {Cambridge University Press},
Series = {Cambridge Studies in Advanced Mathematics},
Title = {{Enumerative combinatorics. Vol. 1}},
Volume = {49},
Year = {1997}}
@misc{d2l:supermodules,
Annote = { From Duplicate 2 ( Off-shell supersymmetry and filtered Clifford supermodules - Doran, C. F.; Faux, M. G.; {Gates Jr.}, S. J.; H\"ubsch, T; Iga, K.; Landweber, G. D. )
\texttt{arXiv:math-ph/0603012}
},
Archiveprefix = {arXiv},
Arxivid = {arXiv:math-ph/0603012v1},
Author = {Doran, C F and Faux, M G and {Gates Jr.}, S J},
Booktitle = {arXiv preprint math-ph/ \ldots},
Eprint = {0603012v1},
File = {:home/yan/Documents/Mendeley Desktop//Doran, Faux, Gates - Off-shell supersymmetry and filtered Clifford supermodules.pdf:pdf},
Howpublished = {\url{arXiv:0603012}},
Keywords = {16W70,Mathematical Physics,Mathematics - Mathematical Physics,Mathematics - Representation Theory,Primary: 81Q60,Secondary: 15A66,adinkras},
Mendeley-Tags = {adinkras},
Month = mar,
Pages = {1--22},
Primaryclass = {arXiv:math-ph},
Title = {{Off-shell supersymmetry and filtered Clifford supermodules}},
Url = {http://arxiv.org/abs/math-ph/0603012},
Year = {2006},
Bdsk-Url-1 = {http://arxiv.org/abs/math-ph/0603012}}
@misc{ratanasangpunth,
Annote = {Undergraduate Thesis},
Author = {Ratanasangpunth, Viriya},
File = {:home/yan/Documents/Mendeley Desktop/Ratanasangpunth - Clifford Codes.pdf:pdf},
Howpublished = {Senior Thesis, Bard College},
Institution = {Bard College},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{Clifford Codes}},
Year = {2010}}
@article{halperin,
Author = {Halperin, S and Toledo, Domingo},
File = {:home/yan/Documents/Mendeley Desktop/Halperin, Toledo - Stiefel-Whitney homology classes.pdf:pdf},
Journal = {The Annals of Mathematics},
Keywords = {adinkras,characteristic classes,topology},
Mendeley-Tags = {adinkras,characteristic classes,topology},
Number = {3},
Pages = {511--525},
Title = {{Stiefel-Whitney homology classes}},
Url = {http://www.jstor.org/stable/10.2307/1970823},
Volume = {96},
Year = {1972},
Bdsk-Url-1 = {http://www.jstor.org/stable/10.2307/1970823}}
@article{derkson:quivers,
Author = {Derksen, Harm and Weyman, Jerzy},
File = {:home/yan/Documents/Mendeley Desktop/Derksen, Weyman - Quiver representations.pdf:pdf},
Journal = {Notices of the AMS},
Keywords = {adinkras,quivers,representation-theory},
Mendeley-Tags = {adinkras,quivers,representation-theory},
Pages = {200--206},
Title = {{Quiver representations}},
Url = {http://www.ams.org/journals/notices/200502/fea-weyman.pdf},
Year = {2005},
Bdsk-Url-1 = {http://www.ams.org/journals/notices/200502/fea-weyman.pdf}}
@phdthesis{Hamaker2008,
Author = {Hamaker, Zachary},
File = {:home/yan/Documents/Mendeley Desktop/Hamaker - Clifford Algebra Representations.pdf:pdf},
Keywords = {adinkras,clifford algebras,representation theory},
Mendeley-Tags = {adinkras,clifford algebras,representation theory},
Title = {{Clifford Algebra Representations}},
Year = {2008}}
@article{salam:super-gauge,
Author = {Salam, A and Strathdee, J},
Issn = {0550-3213},
Journal = {Nuclear Phys.},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {477--482},
Title = {{Super-gauge transformations}},
Volume = {B76},
Year = {1974}}
@book{varadarajan,
Address = {New York},
Author = {Varadarajan, V S},
Isbn = {0-8218-3574-2},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {viii+300},
Publisher = {New York University Courant Institute of Mathematical Sciences},
Series = {Courant Lecture Notes in Mathematics},
Title = {{Supersymmetry for mathematicians: an introduction}},
Volume = {11},
Year = {2004}}
@article{Engbers2012,
Author = {Engbers, John and Galvin, David},
Doi = {10.1016/j.jctb.2011.12.004},
File = {:home/yan/Documents/Mendeley Desktop/Engbers, Galvin - H-colouring bipartite graphs.pdf:pdf},
Issn = {00958956},
Journal = {Journal of Combinatorial Theory, Series B},
Keywords = {adinkras,combinatorics},
Mendeley-Tags = {adinkras,combinatorics},
Month = may,
Number = {3},
Pages = {726--742},
Title = {{H-colouring bipartite graphs}},
Url = {http://linkinghub.elsevier.com/retrieve/pii/S0095895611001213},
Volume = {102},
Year = {2012},
Bdsk-Url-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0095895611001213},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.jctb.2011.12.004}}
@article{Betsumiya2011,
Archiveprefix = {arXiv},
Arxivid = {arXiv:1104.3727v2},
Author = {Betsumiya, Koichi},
Eprint = {arXiv:1104.3727v2},
File = {:home/yan/Documents/Mendeley Desktop/Betsumiya - A Complete Classification of Doubly Even Self-Dual Codes of Length 40 ∗.pdf:pdf},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {1--15},
Title = {{A Complete Classification of Doubly Even Self-Dual Codes of Length 40 ∗}},
Year = {2011}}
@article{meszaros:II,
Author = {M\'{e}sz\'{a}ros, K},
Doi = {10.1090/S0002-9947-2011-05371-7},
Issn = {0002-9947},
Journal = {Trans. Amer. Math. Soc.},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Number = {11},
Pages = {6111--6141},
Title = {{Root polytopes, triangulations, and the subdivision algebra, {II}}},
Url = {http://dx.doi.org/10.1090/S0002-9947-2011-05371-7},
Volume = {363},
Year = {2011},
Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0002-9947-2011-05371-7}}
@misc{Project2009,
Annote = {Senior Project, Bard College},
Author = {Naples, Sylvia},
File = {:home/yan/Documents/Mendeley Desktop/Naples - Classification of Adinkra Graphs.pdf:pdf},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{Classification of Adinkra Graphs}},
Year = {2009}}
@article{chen:freelunch,
Author = {Chen, YP and Jiang, Pei},
Doi = {10.1016/j.tcs.2010.12.028},
File = {:home/yan/Documents/Mendeley Desktop//Chen, Jiang - Free lunches on the discrete Lipschitz class.pdf:pdf},
Issn = {0304-3975},
Journal = {Theoretical Computer Science},
Keywords = {Discrete Lipschitz class,Lipschitz continuity,No-Free-Lunch theorem,Sampling-test scheme,Subthreshold-seeker,adinkras},
Mendeley-Tags = {adinkras},
Number = {17},
Pages = {1614--1628},
Title = {{Free lunches on the discrete Lipschitz class}},
Url = {http://www.sciencedirect.com/science/article/pii/S030439751000719X},
Volume = {412},
Year = {2011},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S030439751000719X},
Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.tcs.2010.12.028}}
@incollection{bgg,
Author = {Bernstein, IN and Gelfand, IM and Gelfand, SI},
Booktitle = {Lie groups and their Representations},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {21--64},
Publisher = {Halsted, New York},
Title = {{Differential operators on the base affine space and a study of g-modules}},
Url = {http://www.math1.tau.ac.il/$\sim$bernstei/Publication_list/publication_texts/BGG-differ-operators.pdf},
Year = {1975},
Bdsk-Url-1 = {http://www.math1.tau.ac.il/$%5Csim$bernstei/Publication_list/publication_texts/BGG-differ-operators.pdf}}
@inproceedings{borgs:survey,
Author = {Borgs, C and Chayes, J and Lov\'{a}sz, L and S\'{o}s, V T and Vesztergombi, K},
Booktitle = {Topics in Discrete Math},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {315--371},
Publisher = {Springer},
Title = {{Counting graph homomorphisms}},
Year = {2006}}
@incollection{deligne,
Address = {Providence, RI},
Author = {Deligne, P},
Booktitle = {Quantum fields and strings: a course for mathematicians, Vol. 1, 2 (Princeton, NJ, 1996/1997)},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {99--135},
Publisher = {Amer. Math. Soc.},
Title = {{Notes on spinors}},
Year = {1999}}
@article{Huffman1982,
Author = {Huffman, W Cary},
File = {:home/yan/Documents/Mendeley Desktop/Huffman - Automorphisms of Codes with Applications to Extremal Doubly Even Codes of Length 48.pdf:pdf},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Number = {3},
Title = {{Automorphisms of Codes with Applications to Extremal Doubly Even Codes of Length 48}},
Volume = {I},
Year = {1982}}
@misc{betsumiya,
Archiveprefix = {arXiv},
Arxivid = {math.CO/1012.4134},
Author = {Betsumiya, K and Munemasa, A},
Booktitle = {ArXiv e-prints},
Eprint = {1012.4134},
Howpublished = {\url{arXiv:1012.4134}},
Keywords = {05E20,05E30,94B05,Mathematics - Combinatorics,adinkras},
Mendeley-Tags = {adinkras},
Month = dec,
Primaryclass = {math.CO},
Title = {{On triply even binary codes}},
Year = {2010}}
@article{stanley:acyclic_orientations,
Author = {Stanley, R P},
File = {:home/yan/Documents/Mendeley Desktop/Stanley - Acyclic orientations of graphs.pdf:pdf},
Journal = {Discrete Mathematics},
Keywords = {adinkras,combinatorics},
Mendeley-Tags = {adinkras,combinatorics},
Pages = {171--178},
Title = {{Acyclic orientations of graphs}},
Url = {http://www.sciencedirect.com/science/article/pii/0012365X73901088},
Volume = {5},
Year = {1973},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/0012365X73901088}}
@book{bott_tu,
Address = {New York},
Author = {Bott, R and Tu, L W},
Isbn = {0-387-90613-4},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {xiv+331},
Publisher = {Springer-Verlag},
Series = {Graduate Texts in Mathematics},
Title = {{Differential forms in algebraic topology}},
Volume = {82},
Year = {1982}}
@article{Chang2004,
Author = {Chang, Shu-chiuan and Jacobsen, Jesper Lykke and Salas, Jes\'{u}s and Shrock, Robert},
File = {:home/yan/Documents/Mendeley Desktop/Chang et al. - Exact Potts Model Partition Functions for Strips of the Triangular Lattice.pdf:pdf},
Keywords = {adinkras,combinatorics,exact solutions,fortuin,kasteleyn representation,potts model,transfer matrix,triangular lattice,tutte polynomial},
Mendeley-Tags = {adinkras,combinatorics},
Number = {February},
Title = {{Exact Potts Model Partition Functions for Strips of the Triangular Lattice}},
Volume = {114},
Year = {2004}}
@article{hubsch:weaving,
Archiveprefix = {arXiv},
Arxivid = {arXiv:1104.3135v1},
Author = {H\"ubsch, T},
Eprint = {arXiv:1104.3135v1},
Journal = {Adv. in Th. Math. Phys.},
Pages = {1--72},
Title = {{Weaving Worldsheet Supermultiplets from the Worldlines Within}},
Volume = {17},
Year = {2013}}
@article{Eliasmith2012,
Abstract = {A central challenge for cognitive and systems neuroscience is to relate the incredibly complex behavior of animals to the equally complex activity of their brains. Recently described, large-scale neural models have not bridged this gap between neural activity and biological function. In this work, we present a 2.5-million-neuron model of the brain (called "Spaun") that bridges this gap by exhibiting many different behaviors. The model is presented only with visual image sequences, and it draws all of its responses with a physically modeled arm. Although simplified, the model captures many aspects of neuroanatomy, neurophysiology, and psychological behavior, which we demonstrate via eight diverse tasks.},
Author = {Eliasmith, Chris and Stewart, Terrence C and Choo, Xuan and Bekolay, Trevor and DeWolf, Travis and Tang, Yichuan and Tang, Charlie and Rasmussen, Daniel},
Doi = {10.1126/science.1225266},
File = {:home/yan/Documents/Mendeley Desktop/Eliasmith et al. - A large-scale model of the functioning brain.pdf:pdf},
Issn = {1095-9203},
Journal = {Science (New York, N.Y.)},
Keywords = {Behavior,Brain,Brain: anatomy & histology,Brain: physiology,Humans,Models, Neurological,Neural Networks (Computer),Software,adinkras},
Mendeley-Tags = {adinkras},
Month = nov,
Number = {6111},
Pages = {1202--5},
Pmid = {23197532},
Title = {{A large-scale model of the functioning brain.}},
Url = {http://www.ncbi.nlm.nih.gov/pubmed/23197532},
Volume = {338},
Year = {2012},
Bdsk-Url-1 = {http://www.ncbi.nlm.nih.gov/pubmed/23197532},
Bdsk-Url-2 = {http://dx.doi.org/10.1126/science.1225266}}
@book{lawson,
Address = {Princeton, NJ},
Author = {{Lawson Jr.}, H Blaine and Michelsohn, Marie-Louise},
Isbn = {0-691-08542-0},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {xii+427},
Publisher = {Princeton University Press},
Series = {Princeton Mathematical Series},
Title = {{Spin geometry}},
Volume = {38},
Year = {1989}}
@article{cameron:cohomological,
Author = {Cameron, PJ},
Journal = {Mathematische Zeitschrift},
Keywords = {adinkras,two-graphs},
Mendeley-Tags = {adinkras,two-graphs},
Pages = {101--119},
Title = {{Cohomological aspects of two-graphs}},
Url = {http://www.springerlink.com/index/k852t021538111u0.pdf},
Volume = {119},
Year = {1977},
Bdsk-Url-1 = {http://www.springerlink.com/index/k852t021538111u0.pdf}}
@article{lam:alcoved1,
Annote = {10.1007/s00454-006-1294-3},
Author = {Lam, T and Postnikov, A},
Issn = {0179-5376},
Journal = {Discrete & Computational Geometry},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Number = {3},
Pages = {453--478},
Publisher = {Springer New York},
Title = {{Alcoved Polytopes, I}},
Url = {http://dx.doi.org/10.1007/s00454-006-1294-3},
Volume = {38},
Year = {2007},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00454-006-1294-3}}
@article{okonek,
Archiveprefix = {arXiv},
Arxivid = {math.AG/1011.1240},
Author = {Okonek, C and Teleman, A},
Eprint = {1011.1240},
Journal = {ArXiv e-prints},
Keywords = {14H40, 14H51, 14H55, 14H60, Mathematics - Algebraic Topology, Mathematics - Complex Variables, Mathematics - Differential Geometry,Mathematics - Algebraic Geometry,adinkras},
Mendeley-Tags = {adinkras},
Month = nov,
Primaryclass = {math.AG},
Title = {{Abelian Yang-Mills theory on Real tori and Theta divisors of Klein surfaces}},
Year = {2010}}
@article{Zaslavsky2006,
Author = {Zaslavsky, Thomas},
File = {:home/yan/Documents/Mendeley Desktop/Zaslavsky - Lattice Point Counts for the Shi Arrangement and Other Affinographic Hyperplane Arrangements.pdf:pdf},
Keywords = {1,adinkras,affinographic hyperplane arrangement,and phrases,chromatic function,coxeter arrangement,deformation of,graph coloring,integral affinographic hyperplane arrangements,integral gain graph,interval,linial arrangement,modular gain graph,proper coloring,shi arrangement},
Mendeley-Tags = {adinkras},
Pages = {1--13},
Title = {{Lattice Point Counts for the Shi Arrangement and Other Affinographic Hyperplane Arrangements}},
Year = {2006}}
@misc{klein:rankings,
Annote = {http://web.mit.edu/primes/materials/2012/Klein.pdf},
Author = {Klein, A},
Howpublished = {\url{http://web.mit.edu/primes/materials/2012/Klein.pdf}},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Publisher = {MIT PRIMES Program},
Title = {{On Rank Functions of Graphs}}}
@article{gates:dimensional_extension,
Author = {{Gates Jr.}, S J and H\"ubsch, T},
Eprint = {1104.0722},
Journal = {Adv. in Th. Math. Phys.},
Pages = {1619--1667},
Title = {{On Dimensional Extension of Supersymmetry: From Worldlines to Worldsheets}},
Volume = {16},
Year = {2012}}
@misc{d2l:clifford,
Annote = {arXiv:hep-th/0811.3410},
Archiveprefix = {arXiv},
Arxivid = {hep-th/0811.3410},
Author = {Doran, C. F. and Faux, M. G. and {Gates Jr.}, S. J. and H\"ubsch, T. and Iga, K. and Landweber, G. D.},
Eprint = {0811.3410},
File = {:home/yan/Documents/Mendeley Desktop/Sciences - Adinkras for Clifford Algebras , and Worldline Supermultiplets.pdf:pdf},
Howpublished = {\url{arXiv:0811.3410}},
Keywords = {High Energy Physics - Theory,adinkras},
Mendeley-Tags = {adinkras},
Month = nov,
Primaryclass = {hep-th},
Title = {{Adinkras for clifford algebras, and worldline supermultiplets}},
Url = {http://arxiv.org/abs/0811.3410},
Year = {2008},
Bdsk-Url-1 = {http://arxiv.org/abs/0811.3410}}
@misc{dil:cohomology,
Author = {Doran, C. F. and Iga, K. and Landweber, G. D.},
File = {:home/yan/Documents/Mendeley Desktop//Doran, Iga, Landweber - An application of Cubical Cohomology to Adinkras and Supersymmetry Representations.pdf:pdf},
Howpublished = {\url{arXiv:1207.6806}},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{An application of Cubical Cohomology to Adinkras and Supersymmetry Representations}},
Url = {http://arxiv.org/abs/1207.6806},
Year = {2012},
Bdsk-Url-1 = {http://arxiv.org/abs/1207.6806}}
@book{flajolet:analytic,
Author = {Flajolet, P and Sedgewick, R},
Booktitle = {ACM SIGACT News},
Doi = {10.1145/1814370.1814373},
File = {:home/yan/Documents/Mendeley Desktop/Flajolet, Sedgewick - Analytic combinatorics.pdf:pdf},
Isbn = {9780521898065},
Issn = {01635700},
Keywords = {adinkras,analysis,books,combinatorics},
Mendeley-Tags = {adinkras,analysis,books,combinatorics},
Month = jun,
Number = {2},
Title = {{Analytic combinatorics}},
Url = {http://portal.acm.org/citation.cfm?doid=1814370.1814373 http://books.google.com/books?hl=en&lr=&id=0h-4QcA1c1QC&oi=fnd&pg=PR7&dq=Analytic+combinatorics&ots=fELNt6uabE&sig=49LROw51hG32xWcRXkQ7xKiq1wA http://books.google.com/books?hl=en&lr=&id=0h-4QcA1c1QC&oi=fnd&pg=PR7&dq=Analytic+combinatorics&ots=fELPx7t3gG&sig=Zbqbaqq7sni855XWjzW8o9JRLkk http://books.google.com/books?hl=en&lr=&id=0h-4QcA1c1QC&oi=fnd&pg=PR7&dq=Analytic+combinatorics&ots=fELPx7t48I&sig=TEO6OSQ-N_JqH3FhzYMCqAF51Pg},
Volume = {41},
Year = {2009},
Bdsk-Url-1 = {http://portal.acm.org/citation.cfm?doid=1814370.1814373%20http://books.google.com/books?hl=en&lr=&id=0h-4QcA1c1QC&oi=fnd&pg=PR7&dq=Analytic+combinatorics&ots=fELNt6uabE&sig=49LROw51hG32xWcRXkQ7xKiq1wA%20http://books.google.com/books?hl=en&lr=&id=0h-4QcA1c1QC&oi=fnd&pg=PR7&dq=Analytic+combinatorics&ots=fELPx7t3gG&sig=Zbqbaqq7sni855XWjzW8o9JRLkk%20http://books.google.com/books?hl=en&lr=&id=0h-4QcA1c1QC&oi=fnd&pg=PR7&dq=Analytic+combinatorics&ots=fELPx7t48I&sig=TEO6OSQ-N_JqH3FhzYMCqAF51Pg},
Bdsk-Url-2 = {http://dx.doi.org/10.1145/1814370.1814373}}
@article{d2l:omni,
Annote = {\texttt{arXiv:hep-th/1108.4124}},
Archiveprefix = {arXiv},
Arxivid = {hep-th/1108.4124},
Author = {Doran, C F and Faux, M G and {Gates Jr.}, S J and H\"ubsch, T and Iga, K and Landweber, G. D. and Miller, R},
Eprint = {1108.4124},
File = {:home/yan/Documents/Mendeley Desktop/Doran et al. - Codes and Supersymmetry in One Dimension.pdf:pdf},
Howpublished = {\url{arXiv:1108.4124}},
Journal = {Adv. Theor. Math. Phys.},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {1909--1970},
Primaryclass = {hep-th},
Title = {{Codes and Supersymmetry in One Dimension}},
Volume = {15},
Year = {2011}}
@article{B,
Author = {Noy, M},
File = {:home/yan/Documents/Mendeley Desktop/Noy - Tutte Polynomials in Square Grids.pdf:pdf},
Keywords = {adinkras,combinatorics},
Mendeley-Tags = {adinkras,combinatorics},
Title = {{Tutte Polynomials in Square Grids}},
Url = {http://algo.inria.fr/seminars/sem99-00/noy2.html},
Year = {2000},
Bdsk-Url-1 = {http://algo.inria.fr/seminars/sem99-00/noy2.html}}
@article{Ram2012,
Archiveprefix = {arXiv},
Arxivid = {arXiv:1203.0090v1},
Author = {Ram, Marcelino},
Eprint = {arXiv:1203.0090v1},
File = {:home/yan/Documents/Mendeley Desktop/Ram - The Tutte polynomial of some matroids.pdf:pdf},
Keywords = {adinkras,combinatorics},
Mendeley-Tags = {adinkras,combinatorics},
Number = {180},
Title = {{The Tutte polynomial of some matroids}},
Year = {2012}}
@misc{salas:first,
Author = {Salas, J and Sokal, A.$\sim$D.},
Booktitle = {eprint arXiv:cond-mat/0004330},
Keywords = {High Energy Physics - Lattice, Mathematical Physics, Mathematics - Combinatorics, Mathematics - Mathematical Physics,Condensed Matter - Statistical Mechanics,adinkras},
Mendeley-Tags = {adinkras},
Month = apr,
Title = {{Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models I. General Theory and Square-Lattice Chromatic Polynomial}},
Year = {2000}}
@incollection{seidel:survey,
Address = {Rome},
Author = {Seidel, J J},
Booktitle = {Colloquio Internazionale sulle Teorie Combinatorie (Rome, 1973), Tomo I},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {481----511. Atti dei Convegni Lincei, No. 17},
Publisher = {Accad. Naz. Lincei},
Title = {{A survey of two-graphs}},
Year = {1976}}
@article{Sad2008,
Archiveprefix = {arXiv},
Arxivid = {arXiv:0901.2136v1},
Author = {H\"ubsch, T},
Eprint = {arXiv:0901.2136v1},
File = {:home/yan/Documents/Mendeley Desktop/Hubsch - Superspace a Comfortably Vast Algebraic Variety:},
Journal = {arXiv preprint arXiv:0901.2136},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Number = {September},
Title = {{Superspace: a Comfortably Vast Algebraic Variety}},
Url = {http://arxiv.org/abs/0901.2136},
Year = {2009},
Bdsk-Url-1 = {http://arxiv.org/abs/0901.2136}}
@article{Lin2010,
Author = {Lin, Yong and Xi, Lifeng},
Doi = {10.1016/j.jmaa.2009.12.037},
File = {:home/yan/Documents/Mendeley Desktop/Lin, Xi - Journal of Mathematical Analysis and Lipschitz property of harmonic function on graphs ✩.pdf:pdf},
Issn = {0022-247X},
Journal = {Journal of Mathematical Analysis and Applications},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Number = {2},
Pages = {673--678},
Publisher = {Elsevier Inc.},
Title = {{Journal of Mathematical Analysis and Lipschitz property of harmonic function on graphs ✩}},
Url = {http://dx.doi.org/10.1016/j.jmaa.2009.12.037},
Volume = {366},
Year = {2010},
Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jmaa.2009.12.037}}
@article{meszaros:I,
Abstract = {The type A_n full root polytope is the convex hull in R^{n+1} of the origin and the points e_i-e_j for 1<= i<j <= n+1. Given a tree T on the vertex set [n+1], the associated root polytope P(T) is the intersection of the full root polytope with the cone generated by the vectors e_i-e_j, where (i, j) is an edge of T, i<j. The reduced forms of a certain monomial m[T] in commuting variables x_{ij} under the reduction x_{ij}x_{jk} --> x_{ik}x_{ij}+x_{jk}x_{ik}+\beta x_{ik}, can be interpreted as triangulations of P(T). Using these triangulations, the volume and Ehrhart polynomial of P(T) are obtained. If we allow variables x_{ij} and x_{kl} to commute only when i, j, k, l are distinct, then the reduced form of m[T] is unique and yields a canonical triangulation of P(T) in which each simplex corresponds to a noncrossing alternating forest. Most generally, the reduced forms of all monomials in the noncommutative case are unique.},
Archiveprefix = {arXiv},
Arxivid = {0904.2194},
Author = {M\'{e}sz\'{a}ros, K},
Eprint = {0904.2194},
Journal = {Transactions of the American Mathematical Society},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Month = apr,
Pages = {27},
Title = {{Root polytopes, triangulations, and the subdivision algebra. I}},
Url = {http://arxiv.org/abs/0904.2194 http://www.ams.org/tran/2011-363-08/S0002-9947-2011-05265-7/},
Year = {2011},
Bdsk-Url-1 = {http://arxiv.org/abs/0904.2194%20http://www.ams.org/tran/2011-363-08/S0002-9947-2011-05265-7/}}
@article{galvin:tori,
Abstract = {For graphs $G$ and $H$, an $H$-coloring of $G$ is a function from the vertices of $G$ to the vertices of $H$ that preserves adjacency. $H$-colorings encode graph theory notions such as independent sets and proper colorings, and are a natural setting for the study of hard-constraint models in statistical physics. We study the set of $H$-colorings of the even discrete torus ${\mathbb Z}^d_m$, the graph on vertex set ${0, ..., m-1}^d$ ($m$ even) with two strings adjacent if they differ by 1 (mod $m$) on one coordinate and agree on all others. This is a bipartite graph, with bipartition classes ${\mathcal E}$ and ${\mathcal O}$. In the case $m=2$ the even discrete torus is the discrete hypercube or Hamming cube $Q_d$, the usual nearest neighbor graph on ${0,1}^d$. We obtain, for any $H$ and fixed $m$, a structural characterization of the space of $H$-colorings of ${\mathbb Z}^d_m$. We show that it may be partitioned into an exceptional subset of negligible size (as $d$ grows) and a collection of subsets indexed by certain pairs $(A,B) \in V(H)^2$, with each $H$-coloring in the subset indexed by $(A,B)$ having all but a vanishing proportion of vertices from ${\mathcal E}$ mapped to vertices from $A$, and all but a vanishing proportion of vertices from ${\mathcal O}$ mapped to vertices from $B$. This implies a long-range correlation phenomenon for uniformly chosen $H$-colorings of ${\mathbb Z}^d_m$ with $m$ fixed and $d$ growing. Our proof proceeds through an analysis of the entropy of a uniformly chosen $H$-coloring, and extends an approach of Kahn, who had considered the special case of $m=2$ and $H$ a doubly infinite path. All our results generalize to a natural weighted model of $H$-colorings.},
Archiveprefix = {arXiv},
Arxivid = {1101.0840},
Author = {Engbers, John and Galvin, David},
Eprint = {1101.0840},
File = {:home/yan/Documents/Mendeley Desktop/Engbers, Galvin - H-coloring tori.pdf:pdf},
Journal = {Journal of Combinatorial Theory, Series B},
Keywords = {adinkras,combinatorics,graph-homomorphisms},
Mendeley-Tags = {adinkras,combinatorics,graph-homomorphisms},
Month = jan,
Pages = {29},
Title = {{H-coloring tori}},
Url = {http://arxiv.org/abs/1101.0840 http://www.sciencedirect.com/science/article/pii/S0095895612000366},
Year = {2012},
Bdsk-Url-1 = {http://arxiv.org/abs/1101.0840%20http://www.sciencedirect.com/science/article/pii/S0095895612000366}}
@article{Society2008,
Author = {Lundow, PH and Markstr\"{o}m, K},
File = {:home/yan/Documents/Mendeley Desktop/Unknown - Exact and Approximate Compression of Transfer Matrices for Graph Homomorphisms.pdf:pdf},
Journal = {LMS J. Comput. Math},
Keywords = {adinkras,combinatorics},
Mendeley-Tags = {adinkras,combinatorics},
Number = {August 2007},
Pages = {1--14},
Title = {{Exact and approximate compression of transfer matrices for graph homomorphisms}},
Url = {http://journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=6564056},
Volume = {11},
Year = {2008},
Bdsk-Url-1 = {http://journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=6564056}}
@misc{peled:flat,
Archiveprefix = {arXiv},
Arxivid = {arXiv:1005.4636v1},
Author = {Peled, Ron},
Booktitle = {arXiv:1005.4636},
Eprint = {arXiv:1005.4636v1},
File = {:home/yan/Documents/Mendeley Desktop/Peled - High-dimensional Lipschitz functions are typically flat.pdf:pdf},
Howpublished = {\url{arXiv:1005.4636}},
Keywords = {adinkras,combinatorics},
Mendeley-Tags = {adinkras,combinatorics},
Pages = {1--87},
Title = {{High-dimensional Lipschitz functions are typically flat}},
Url = {http://arxiv.org/abs/1005.4636},
Year = {2010},
Bdsk-Url-1 = {http://arxiv.org/abs/1005.4636}}
@article{d2l:topology,
Archiveprefix = {arXiv},
Arxivid = {hep-th/0806.0050},
Author = {Doran, C. F. and Faux, M. G. and {Gates Jr.}, S. J. and H\"ubsch, T. and Iga, K. and Landweber, G. D. and Miller, R. L.},
Eprint = {0806.0050},
Journal = {arXiv:0806.0050},
Keywords = {Combinatorics,High Energy Physics - Theory,Mathematical Physics,Mathematics - Combinatorics,adinkras},
Mendeley-Tags = {adinkras},
Primaryclass = {hep-th},
Title = {{Topology types of Adinkras and the corresponding representations of N-extended supersymmetry}},
Url = {http://arxiv.org/abs/0806.0050},
Year = {2008},
Bdsk-Url-1 = {http://arxiv.org/abs/0806.0050}}
@article{d2l:decodes,
Archiveprefix = {arXiv},
Arxivid = {hep-th/0806.0051},
Author = {Doran, C. F. and Faux, M. G. and {Gates Jr.}, S. J. and H\"ubsch, T. and Iga, K. and Landweber, G. D.},
Editor = {eds. F. Liu et al.},
Eprint = {0806.0051},
Journal = {Discrete and Computational Mathematics},
Publisher = {Nova Science Pub., Inc., Hauppage},
Title = {{Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry}},
Url = {http://arxiv.org/abs/0806.0051},
Year = {2008},
Bdsk-Url-1 = {http://arxiv.org/abs/0806.0051}}
@article{wilf:coefficient_power,
Author = {Wilf, H S and Knuth, D E},
Issn = {0075-4102; 1435-5345},
Journal = {Journal f\"{u}r die reine und angewandte Mathematik},
Keywords = {adinkras,arithmetic,combinatorics,prime divisors,rank of apparition},
Language = {eng},
Mendeley-Tags = {adinkras,arithmetic,combinatorics},
Pages = {212--219},
Title = {{The power of a prime that divides a generalized binomial coefficient.}},
Url = {https://eudml.org/doc/153129},
Volume = {396},
Bdsk-Url-1 = {https://eudml.org/doc/153129}}
@book{huffman,
Address = {Cambridge},
Author = {Huffman, W C and Pless, V},
File = {:home/yan/Documents/Mendeley Desktop/Huffman, Pless - Fundamentals of error-correcting codes.pdf:pdf},
Isbn = {0-521-78280-5},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {xviii+646},
Publisher = {Cambridge University Press},
Title = {{Fundamentals of error-correcting codes}},
Year = {2003}}
@article{ward:survey,
Author = {Ward, H N},
Issn = {1310-6600},
Journal = {Serdica Math. J.},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Number = {4},
Pages = {263--278},
Title = {{Divisible codes---a survey}},
Volume = {27},
Year = {2001}}
@article{Peterson2010,
Author = {Peterson, W Wesley and Nation, J B and Fossorier, Marc P},
File = {:home/yan/Documents/Mendeley Desktop/Peterson, Nation, Fossorier - Reflection Group Codes and Their Decoding.pdf:pdf},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Number = {12},
Pages = {1--21},
Title = {{Reflection Group Codes and Their Decoding}},
Volume = {56},
Year = {2010}}
@article{Machens2012,
Author = {Machens, Christian K},
Doi = {10.1126/science.1231865},
File = {:home/yan/Documents/Mendeley Desktop/Machens - Neuroscience. Building the human brain.pdf:pdf},
Issn = {1095-9203},
Journal = {Science (New York, N.Y.)},
Keywords = {Behavior,Brain,Brain: physiology,Humans,Models, Neurological,Software,adinkras},
Mendeley-Tags = {adinkras},
Month = nov,
Number = {6111},
Pages = {1156--7},
Pmid = {23197519},
Title = {{Neuroscience. Building the human brain.}},
Url = {http://www.ncbi.nlm.nih.gov/pubmed/23197519},
Volume = {338},
Year = {2012},
Bdsk-Url-1 = {http://www.ncbi.nlm.nih.gov/pubmed/23197519},
Bdsk-Url-2 = {http://dx.doi.org/10.1126/science.1231865}}
@misc{miller,
Annote = {http://www.rlmiller.org/de_codes/},
Author = {Miller, R},
Howpublished = {\url{http://www.rlmiller.org/de_codes/}},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{Doubly-Even Codes}}}
@article{douglas,
Author = {Douglas, B. L. and S. J. {Gates Jr.} and B. L. Segler and Wang, J.$\sim$B.},
Eprint = {1009.1449},
Journal = {Advances in Mathematical Physics},
Title = {{Automorphism Properties and Classification of Adinkras}},
Year = {accepted}}
@article{Sciences,
Archiveprefix = {arXiv},
Arxivid = {arXiv:0901.4970v1},
Author = {Sciences, Statistical},
Eprint = {arXiv:0901.4970v1},
File = {:home/yan/Documents/Mendeley Desktop/Sciences - A Superfield for Every Dash-Chromotopology.pdf:pdf},
Journal = {Science},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{A Superfield for Every Dash-Chromotopology}}}
@book{hatcher,
Address = {Cambridge},
Author = {Hatcher, A},
Isbn = {0-521-79160-X; 0-521-79540-0},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {xii+544},
Publisher = {Cambridge University Press},
Title = {{Algebraic topology}},
Year = {2002}}
@book{Godsip1991,
Author = {Godsil, CD and Gr\"{o}tschel, M and Welsh, DJA},
Booktitle = {Informationstechnik},
File = {:home/yan/Documents/Mendeley Desktop/Godsil, Gr\"{o}tschel, Welsh - Combinatorics in statistical physics.pdf:pdf},
Keywords = {adinkras,combinatorics,physics,statistical mechanics},
Mendeley-Tags = {adinkras,combinatorics,physics,statistical mechanics},
Number = {December},
Title = {{Combinatorics in statistical physics}},
Url = {https://www.zib.de/groetschel/pubnew/paper/godsilgroetschelwelsh1995.pdf},
Volume = {19},
Year = {1991},
Bdsk-Url-1 = {https://www.zib.de/groetschel/pubnew/paper/godsilgroetschelwelsh1995.pdf}}
@book{hatcher:bundles,
Annote = { From Duplicate 2 ( Vector Bundles and K-Theory - Hatcher, A )
http://www.math.cornell.edu/$\sim$hatcher
},
Author = {Hatcher, Allen},
File = {:home/yan/Documents/Mendeley Desktop/Hatcher - Vector Bundles and K-Theory.pdf:pdf},
Keywords = {adinkras,imported},
Mendeley-Tags = {adinkras},
Number = {May},
Title = {{Vector Bundles and K-Theory}},
Year = {2003}}
@misc{zhang:thesis,
Author = {Zhang, Yan X},
File = {:home/yan/Documents/Mendeley Desktop/Zhang - The Combinatorics of Adinkras.pdf:pdf},
Howpublished = {\url{http://math.mit.edu/\$\sim$yanzhang/math/thesis_adinkras.pdf}},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{The Combinatorics of Adinkras}},
Year = {2013}}
@misc{faux:dimensional_enhancement,
Archiveprefix = {arXiv},
Arxivid = {hep-th/0907.3605},
Author = {Faux, M. G. and Iga, K. and Landweber, G. D.},
Booktitle = {Advances in Mathematical Physics},
Eprint = {0907.3605},
File = {:home/yan/Documents/Mendeley Desktop/Faux, Iga, Landweber - Dimensional enhancement via supersymmetry.pdf:pdf},
Keywords = {High Energy Physics - Theory,adinkras},
Mendeley-Tags = {adinkras},
Month = jul,
Primaryclass = {hep-th},
Title = {{Dimensional enhancement via supersymmetry}},
Url = {http://www.hindawi.com/journals/amp/aip/259089/},
Year = {2011},
Bdsk-Url-1 = {http://www.hindawi.com/journals/amp/aip/259089/}}
@article{Walker,
Author = {Walker, Judy L},
File = {:home/yan/Documents/Mendeley Desktop/Walker - Codes and Curves.pdf:pdf},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Title = {{Codes and Curves}}}
@book{conway:lattices,
Address = {New York},
Annote = {With additional contributions by E. Bannai, R. E. Borcherds,
J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen
and B. B. Venkov},
Author = {Conway, J H and Sloane, N J A},
Edition = {Third},
Isbn = {0-387-98585-9},
Keywords = {adinkras},
Mendeley-Tags = {adinkras},
Pages = {lxxiv+703},
Publisher = {Springer-Verlag},
Series = {Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]},
Title = {{Sphere packings, lattices and groups}},
Volume = {290},
Year = {1999}}