Theorems · Definition · group theory

Representation.finsupp

{k : Type u_1} →
  {G : Type u_2} →
    [inst : CommSemiring k] →
      [inst_1 : Monoid G] →
        {A : Type u_4} →
          [inst_2 : AddCommMonoid A] →
            [inst_3 : Module k A] → Representation k G A → (α : Type u_6) → Representation k G (α →₀ A)

The representation on α →₀ A defined pointwise by a representation on A.

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

14 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidModule