Theorems · Theorem · group theory

Representation.self_norm_apply

∀ {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) (x : V),
  (ρ g) (ρ.norm x) = ρ.norm x

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

2 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringGroupFintypeAddCommMonoidModule