Theorems · Definition · group theory

Rep.coindFunctor

(k : Type u) →
  {G : Type v} →
    {H : Type w} →
      [inst : CommRing k] →
        [inst_1 : Monoid G] →
          [inst_2 : Monoid H] → (G →* H) → CategoryTheory.Functor (Rep.{t, u, v} k G) (Rep.{max w t, u, w} k H)

Given a monoid homomorphism φ : G →* H, this is the functor sending a G-representation A to the coinduced H-representation coind φ A, with action on maps given by postcomposition.

Defined in

Mathlib.RepresentationTheory.Coinduced

Cited by

14 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Quot.sound

Assumes

CommRingMonoidMonoid