Theorems · Theorem · group theory

Representation.IntertwiningMap.centralAlgebraMul_apply

∀ {A : Type u_1} {G : Type u_2} {V : Type u_3} [inst : CommSemiring A] [inst_1 : Monoid G] [inst_2 : AddCommMonoid V]
  [inst_3 : Module A V] (ρ : Representation A G V) {z : MonoidAlgebra A G}
  (hz : z ∈ Submonoid.center (MonoidAlgebra A G)) (v : V),
  (Representation.IntertwiningMap.centralAlgebraMul ρ hz) v = (ρ.asAlgebraHom z) v

Defined in

Mathlib.RepresentationTheory.Intertwining

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidModule