Theorems · Definition · group theory

Representation.ofDistribMulAction

(k : Type u_1) →
  (G : Type u_2) →
    (A : Type u_3) →
      [inst : Semiring k] →
        [inst_1 : Monoid G] →
          [inst_2 : AddCommMonoid A] →
            [inst_3 : Module k A] → [inst_4 : DistribMulAction G A] → [SMulCommClass G k A] → Representation k G A

Turns a k-module A with a compatible DistribMulAction of a monoid G into a k-linear G-representation on A.

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

5 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Quot.sound

Assumes

SemiringMonoidAddCommMonoidModuleDistribMulActionSMulCommClass