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Theorems · Theorem · group theory

Representation.Coinvariants.map_id

∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} [inst : CommRing k] [inst_1 : Monoid G] [inst_2 : AddCommGroup V]
  [inst_3 : Module k V] (ρ : Representation k G V),
  Representation.Coinvariants.map ρ ρ (Representation.IntertwiningMap.id ρ) = LinearMap.id
Defined in
Mathlib.RepresentationTheory.Coinvariants
Cited by
0 results in Mathlib
Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingMonoidAddCommGroupModule
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupLinearMap · cited by 10215LinearMapMonoid · cited by 3887MonoidLinearMap.comp · cited by 1642LinearMap.compLinearMap.ext · cited by 844LinearMap.extLinearMap.id · cited by 625LinearMap.idRepresentation · cited by 396RepresentationRepresentation.Coinvariants · cited by 48Representation.Coinvarian…Representation.Coinvariants.mk · cited by 39Coinvariants.mkRepresentation.IntertwiningMap.id · cited by 21IntertwiningMap.idRepresentation.Coinvariants.map · cited by 11Coinvariants.mapCoinvariants.map_idCITED BYCITES

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