Theorems · Definition · group theory
Rep.Hom.hom
{k : Type u} →
{G : Type v} →
[inst : Semiring k] → [inst_1 : Monoid G] → {A B : Rep.{w, u, v} k G} → A.Hom B → A.ρ.IntertwiningMap B.ρTurn a morphism in Rep back into an IntertwiningMap.
- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 190 results in Mathlib
- Foundations
- Depth 47 from the axioms, rests on 403 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Monoidstatement and proof · cited by 3,887
- Repstatement and proof · cited by 843
- Rep.Vstatement · cited by 695
- Rep.ρstatement · cited by 356
- Representation.IntertwiningMapstatement · cited by 261
- Rep.Homstatement and proof · cited by 6
Cited by227
Results whose statement or proof uses this declaration.
- groupCohomology.cochainsMapproof · cited by 41
- groupHomology.chainsMapproof · cited by 40
- Rep.coinvariantsFunctorproof · cited by 34
- Rep.Hom.toModuleCatHomproof · cited by 34
- Rep.resMapproof · cited by 23
- Rep.hom_extstatement and proof · cited by 16
- groupHomology.chainsMap₁proof · cited by 12
- groupCohomology.cochainsMap₁proof · cited by 10
- groupCohomology.cochainsMap₂proof · cited by 10
- groupHomology.chainsMap₂proof · cited by 10
- groupCohomology.map_cochainsFunctor_shortExactproof · cited by 9
- Rep.invariantsFunctorproof · cited by 9
Showing the 200 most cited of 227.