Theorems · Definition · group theory

Rep.desc

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

The linear map underlying a G-representation morphism A ⟶ B, where B has the trivial representation, factors through A_G.

Defined in

Mathlib.RepresentationTheory.Coinvariants

Cited by

3 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingMonoidRepresentation.IsTrivial