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Theorems · Definition · group theory

Rep.toCoinvariants

{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 induces a G-representation on the S-coinvariants A_S.

Defined in
Mathlib.RepresentationTheory.Coinvariants
Cited by
5 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingGroupSubgroup.Normal

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