Theorems · Definition · group theory

Representation.finsuppLEquivFreeAsModule

(k : Type u_1) →
  (G : Type u_2) →
    [inst : CommSemiring k] →
      [inst_1 : Monoid G] →
        (α : Type u_6) → (α →₀ MonoidAlgebra k G) ≃ₗ[MonoidAlgebra k G] (Representation.free k G α).asModule

The free k[G]-module on a type α is isomorphic to the representation free k G α.

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoid