Theorems · Definition · group theory
tateCohomologyFunctor
{R G : Type u} →
[inst : CommRing R] → [inst_1 : Group G] → [Fintype G] → ℤ → CategoryTheory.Functor (Rep.{u, u, u} R G) (ModuleCat R)The functor taking a representation of G to its n-th Tate cohomology group.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- Fintypestatement and proof · cited by 7,736
- CategoryTheory.Functor.compproof · cited by 6,529
- Groupstatement and proof · cited by 6,238
- ModuleCatstatement and proof · cited by 1,429
- ComplexShape.upproof · cited by 1,123
- Repstatement · cited by 843
- HomologicalComplex.homologyFunctorproof · cited by 70
- tateComplexFunctorproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- tateCohomologyproof · cited by 5
- TateCohomology.map_δstatement · cited by 1
- TateCohomology.δ_mapstatement · cited by 1
- TateCohomology.exact₃statement · cited by 0
- TateCohomology.isoGroupCohomologystatement · cited by 0
- TateCohomology.isoGroupHomologystatement · cited by 0
- TateCohomology.δ_naturalitystatement · cited by 0
- TateCohomology.exact₁statement · cited by 0