[Merged by Bors] - feat(RepresentationTheory/Homological/GroupHomology/Functoriality): add functoriality#25880
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101damnations wants to merge 261 commits intoleanprover-community:masterfrom
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[Merged by Bors] - feat(RepresentationTheory/Homological/GroupHomology/Functoriality): add functoriality#25880101damnations wants to merge 261 commits intoleanprover-community:masterfrom
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PR summary 6213db6954Import changes for modified filesNo significant changes to the import graph Import changes for all files
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[Merged by Bors] - feat(RepresentationTheory/Homological/GroupHomology): long exact sequences
#25943
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…dd functoriality (#25880) Given a commutative ring `k`, a group homomorphism `f : G →* H`, a `k`-linear `G`-representation `A`, a `k`-linear `H`-representation `B`, and a representation morphism `A ⟶ Res(f)(B)`, we get a chain map `inhomogeneousChains A ⟶ inhomogeneousChains B` and hence maps on group homology `Hⁿ(H, A) ⟶ Hⁿ(G, B)`. A subsequent PR will add specialised API for low degree, and a future PR will add support for switching resolution.
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Rida-Hamadani
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…dd functoriality (leanprover-community#25880) Given a commutative ring `k`, a group homomorphism `f : G →* H`, a `k`-linear `G`-representation `A`, a `k`-linear `H`-representation `B`, and a representation morphism `A ⟶ Res(f)(B)`, we get a chain map `inhomogeneousChains A ⟶ inhomogeneousChains B` and hence maps on group homology `Hⁿ(H, A) ⟶ Hⁿ(G, B)`. A subsequent PR will add specialised API for low degree, and a future PR will add support for switching resolution.
callesonne
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…dd functoriality (leanprover-community#25880) Given a commutative ring `k`, a group homomorphism `f : G →* H`, a `k`-linear `G`-representation `A`, a `k`-linear `H`-representation `B`, and a representation morphism `A ⟶ Res(f)(B)`, we get a chain map `inhomogeneousChains A ⟶ inhomogeneousChains B` and hence maps on group homology `Hⁿ(H, A) ⟶ Hⁿ(G, B)`. A subsequent PR will add specialised API for low degree, and a future PR will add support for switching resolution.
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Given a commutative ring
k, a group homomorphismf : G →* H, ak-linearG-representationA, ak-linearH-representationB, and a representation morphismA ⟶ Res(f)(B), we geta chain map
inhomogeneousChains A ⟶ inhomogeneousChains Band hence maps on group homologyHⁿ(H, A) ⟶ Hⁿ(G, B).A subsequent PR will add specialised API for low degree, and a future PR will add support for switching resolution.
Action.rhoaMonoidHominstead of a morphism inMonCat#21652Finsupp#21732Rep.diagonal k G (n + 1) ≅ Rep.free k G (Fin n → G)#21736This PR continues the work from #21754.
Original PR: #21754