Theorems · Definition · group theory

Representation.IntertwiningMap.centralAlgebraMulHom

{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) → ↥(Submonoid.center (MonoidAlgebra A G)) →* ρ.IntertwiningMap ρ

centralAlgebraMul as monoid homomorphism from the center of A[G] to intertwining map from any representation of G to itself.

Defined in

Mathlib.RepresentationTheory.Intertwining

Cited by

1 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidModule