Theorems · Theorem · group theory

Representation.isTrivial_def

∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} [inst : Semiring k] [inst_1 : Monoid G] [inst_2 : AddCommMonoid V]
  [inst_3 : Module k V] (ρ : Representation k G V) [ρ.IsTrivial] (g : G), ρ g = LinearMap.id

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

4 results in Mathlib

Foundations

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

Assumes

SemiringMonoidAddCommMonoidModuleRepresentation.IsTrivial