Theorems · Definition · group theory
Rep.res
{k : Type u} →
[inst : Semiring k] →
{G : Type v1} →
{H : Type v2} → [inst_1 : Monoid G] → [inst_2 : Monoid H] → (H →* G) → Rep.{u_1, u, v1} k G → Rep.{u_1, u, v2} k HThe restriction of X : Rep k G associated to a monoid homomorphism f : H →* G
- Defined in
- Mathlib.RepresentationTheory.Rep.Res
- Cited by
- 213 results in Mathlib
- Foundations
- Depth 52 from the axioms, rests on 417 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- Semiringstatement and proof · cited by 13,802
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Repstatement and proof · cited by 843
- Rep.resFunctorproof · cited by 29
Cited by249
Results whose statement or proof uses this declaration.
- groupCohomology.cochainsMapstatement and proof · cited by 41
- groupHomology.chainsMapstatement and proof · cited by 40
- groupHomology.mapstatement and proof · cited by 30
- groupCohomology.mapstatement and proof · cited by 30
- groupHomology.cyclesMapstatement and proof · cited by 21
- groupHomology.mapCycles₁statement and proof · cited by 20
- groupCohomology.cocyclesMapstatement and proof · cited by 19
- groupHomology.mapCycles₂statement and proof · cited by 17
- groupHomology.mapShortComplexH1statement and proof · cited by 14
- groupCohomology.mapShortComplexH1statement and proof · cited by 13
- groupCohomology.mapCocycles₁statement and proof · cited by 12
- groupCohomology.mapShortComplexH2statement and proof · cited by 12
Showing the 200 most cited of 249.