Theorems · Theorem · group theory

Representation.apply_eq_of_leftRegular_eq_of_generator

Deprecated since 2026-06-18Use Representation.coeff_of_leftRegular_of_generator instead.

∀ {k : Type u_1} {G : Type u_2} [inst : CommSemiring k] [inst_1 : Group G] (g : G),
  (∀ (x : G), x ∈ Subgroup.zpowers g) →
    ∀ (x : MonoidAlgebra k G), ((Representation.leftRegular k G) g) x = x → ∀ (γ : G), x.coeff γ = x.coeff g

Alias of Representation.coeff_of_leftRegular_of_generator.

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringGroup