Theorems · Definition · group theory
groupHomology.chainsFunctor
(k G : Type u) →
[inst : CommRing k] → [inst_1 : Group G] → CategoryTheory.Functor (Rep.{u, u, u} k G) (ChainComplex (ModuleCat k) ℕ)The functor sending a representation to its complex of inhomogeneous chains.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- ComplexShape.downstatement · cited by 605
- ChainComplexstatement · cited by 350
- MonoidHom.idproof · cited by 323
- groupHomology.inhomogeneousChainsproof · cited by 90
- groupHomology.chainsMapproof · cited by 40
- groupHomology.chainsMap_idproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- groupHomology.map_chainsFunctor_shortExactstatement and proof · cited by 8
- groupHomology.δ_applyproof · cited by 2
- groupHomology.chainsFunctor_mapstatement and proof · cited by 1
- TateCohomology.tateComplex.evalNegstatement · cited by 1
- groupHomology.map_chainsFunctor_eval_shortExactstatement · cited by 1
- groupHomology.chainsFunctor_obj_X_carrierstatement and proof · cited by 0
- groupHomology.chainsFunctor_obj_dstatement and proof · cited by 0