feat(RepresentationTheory/Homological/GroupHomology/LongExactSequence): specialise LES API to group homology#21764
Closed
101damnations wants to merge 227 commits intomasterfrom
Closed
feat(RepresentationTheory/Homological/GroupHomology/LongExactSequence): specialise LES API to group homology#21764101damnations wants to merge 227 commits intomasterfrom
101damnations wants to merge 227 commits intomasterfrom
Conversation
added 30 commits
January 22, 2025 14:37
added 21 commits
February 12, 2025 18:48
…mathlib4 into coinvariantsstuffhalf
…-community/mathlib4 into coinvariantsstuff
…mathlib4 into diagonalsuccisohalf
…ommunity/mathlib4 into diagonalsucciso
Collaborator
Collaborator
Author
|
Refactored and moved to a fork in #25943. |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
4 participants
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Given a commutative ring
kand a groupG, this PR shows that a short exact sequence ofk-linearG-representations0 ⟶ X₁ ⟶ X₂ ⟶ X₃ ⟶ 0induces a short exact sequence ofcomplexes of inhomogeneous chains
0 ⟶ C(X₁) ⟶ C(X₂) ⟶ C(X₃) ⟶ 0, whereHₙ(C(Xᵢ))is the
nth group homology ofXᵢ.This allows us to specialize API about long exact sequences to group homology.
Action.rhoaMonoidHominstead of a morphism inMonCat#21652Finsupp#21732Rep.diagonal k G (n + 1) ≅ Rep.free k G (Fin n → G)#21736IsOneCyclepredicate and friends #21757groupHomology A nwithHn Aforn = 0, 1, 2#21759