Theorems · Definition · group theory

Rep.toCoinvariantsKer

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

Given a normal subgroup S ≤ G, a G-representation A restricts to a G-representation on the kernel of the quotient map to the S-coinvariants A_S.

Defined in

Mathlib.RepresentationTheory.Coinvariants

Cited by

1 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroupSubgroup.Normal