Theorems · Definition · group theory
groupHomology.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 120 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
- groupHomologyproof · cited by 59
- groupHomology.mapproof · cited by 30
Cited by8
Results whose statement or proof uses this declaration.
- groupHomology.coresNatTransstatement · cited by 1
- groupHomology.coinfNatTransstatement · cited by 1
- groupHomology.mapShortComplex₂proof · cited by 1
- groupHomology.functor_objstatement and proof · cited by 0
- groupHomology.coresNatTrans_appstatement · cited by 0
- TateCohomology.isoGroupHomologystatement · cited by 0
- groupHomology.coinfNatTrans_appstatement · cited by 0
- groupHomology.functor_mapstatement and proof · cited by 0