Theorems · Definition · group theory

Representation.IntertwiningMap.id

{A : Type u_1} →
  {G : Type u_2} →
    {V : Type u_3} →
      [inst : Semiring A] →
        [inst_1 : Monoid G] →
          [inst_2 : AddCommMonoid V] → [inst_3 : Module A V] → (ρ : Representation A G V) → ρ.IntertwiningMap ρ

The identity map, considered as an intertwining map from a representation to itself.

Defined in

Mathlib.RepresentationTheory.Intertwining

Cited by

21 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Quot.sound

Assumes

SemiringMonoidAddCommMonoidModule