Theorems · Definition · group theory

Representation.freeAsModuleBasis

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

α gives a k[G]-basis of the representation free k G α.

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

1 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoid