Theorems · Definition · group theory
groupCohomology.functor
(k G : Type u) → [inst : CommRing k] → [inst_1 : Group G] → ℕ → CategoryTheory.Functor (Rep.{u, u, u} k G) (ModuleCat k)The functor sending a G-representation A to Hⁿ(G, A).
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- Groupstatement and proof · cited by 6,238
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- MonoidHom.idproof · cited by 323
- groupCohomologyproof · cited by 60
- groupCohomology.mapproof · cited by 30
Cited by8
Results whose statement or proof uses this declaration.
- groupCohomology.mapShortComplex₂proof · cited by 1
- groupCohomology.resNatTransstatement · cited by 1
- groupCohomology.infNatTransstatement · cited by 1
- TateCohomology.isoGroupCohomologystatement · cited by 0
- groupCohomology.resNatTrans_appstatement · cited by 0
- groupCohomology.functor_mapstatement and proof · cited by 0
- groupCohomology.functor_objstatement and proof · cited by 0
- groupCohomology.infNatTrans_appstatement · cited by 0