Theorems · Theorem · group theory

Representation.norm_comp_self

∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} [inst : Semiring k] [inst_1 : Group G] [inst_2 : Fintype G]
  [inst_3 : AddCommMonoid V] [inst_4 : Module k V] (ρ : Representation k G V) (g : G), ρ.norm ∘ₗ ρ g = ρ.norm

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

1 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringGroupFintypeAddCommMonoidModule