Theorems · Definition · group theory

Representation.ofModule

{k : Type u_1} →
  {G : Type u_2} →
    [inst : CommSemiring k] →
      [inst_1 : Monoid G] →
        (M : Type u_4) →
          [inst_2 : AddCommMonoid M] →
            [inst_3 : Module (MonoidAlgebra k G) M] → Representation k G (RestrictScalars k (MonoidAlgebra k G) M)

Build a Representation from a [Module k[G] M]. Note that the representation is built on restrictScalars k k[G] M, rather than on M itself.

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

11 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidModule