Theorems · Theorem · group theory

Representation.coeff_ofMulAction

∀ {k : Type u_1} {G : Type u_2} [inst : Semiring k] [inst_1 : Group G] {H : Type u_4} [inst_2 : MulAction G H] (g : G)
  (f : MonoidAlgebra k H) (h : H), (((Representation.ofMulAction k G H) g) f).coeff h = f.coeff (g⁻¹ • h)

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

4 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringGroupMulAction