Theorems · Definition · group theory

Rep.quotientToInvariantsFunctor

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

Given a normal subgroup S ≤ G, this is the functor sending a G-representation A to the G ⧸ S-representation it induces on A^S.

Defined in

Mathlib.RepresentationTheory.Invariants

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroupSubgroup.Normal