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Definition of scaling of additive Haar measure #222

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kbuzzard opened this issue Nov 18, 2024 · 7 comments · Fixed by #263
Closed

Definition of scaling of additive Haar measure #222

kbuzzard opened this issue Nov 18, 2024 · 7 comments · Fixed by #263
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@kbuzzard
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The file HaarMeasure/ModularCharacter.lean defines the "modular character" https://math.stackexchange.com/questions/2237765/how-is-the-modular-character-usually-defined of a locally compact Hausdorff topological group; it's the factor which left Haar measure is scaled by under right multiplication.

In FLT we need a variant of this. Let R be a locally compact topological ring (possibly commutative). An element u of the units R^x of R induces (via multiplication) a homeomorphism R -> R which is also an isomorphism of additive groups, and hence scales additive Haar measure on R by some factor. We need a definition of this; the sorry'd definition is in the file HaarMeasure/Map.lean.

@morrison-daniel
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claim

@kbuzzard kbuzzard moved this from Unclaimed to Claimed in FLT Project Nov 21, 2024
@kbuzzard
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@morrison-daniel this might have been done last week by Yael Dillies in #223 .

@morrison-daniel
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unclaim

@morrison-daniel
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disclaim

@kbuzzard kbuzzard moved this from Claimed to Unclaimed in FLT Project Nov 25, 2024
@kbuzzard
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kbuzzard commented Dec 1, 2024

@YaelDillies can you claim this, given that you've essentially done it? I think all we need is a namechange?

@YaelDillies
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claim

@kbuzzard kbuzzard moved this from Unclaimed to Claimed in FLT Project Dec 1, 2024
@YaelDillies
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propose #263

@kbuzzard kbuzzard moved this from Claimed to In Progress in FLT Project Dec 2, 2024
@github-project-automation github-project-automation bot moved this from In Progress to Completed in FLT Project Dec 2, 2024
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