Mathlib Map

Theorems · Definition · group theory

Rep.toCoinvariantsMkQ

{k : Type u} →
  {G : Type v} →
    [inst : CommRing k] →
      [inst_1 : Group G] → (A : Rep.{w, u, v} k G) → (S : Subgroup G) → [inst_2 : S.Normal] → A ⟶ A.toCoinvariants S

The quotient map A → A_S as a representation morphism.

Defined in
Mathlib.RepresentationTheory.Coinvariants
Cited by
4 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingGroupSubgroup.Normal

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.