Theorems · Definition · group theory

Rep.Hom.toModuleCatHom

{k : Type u} →
  {G : Type v} →
    [inst : Ring k] →
      [inst_1 : Monoid G] → {A B : Rep.{w, u, v} k G} → (A ⟶ B) → (ModuleCat.of k ↑A ⟶ ModuleCat.of k ↑B)

A morphism in Rep k G has an underlying linear map attached to it hence induce a morphism in ModuleCat k.

Defined in

Mathlib.RepresentationTheory.Rep.Basic

Cited by

34 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Quot.sound

Assumes

RingMonoid