Theorems · Definition · group theory

Rep.coindIso

{k : Type u} →
  {G : Type v} →
    {H : Type w} →
      [inst : CommRing k] →
        [inst_1 : Monoid G] →
          [inst_2 : Monoid H] →
            (φ : G →* H) → (A : Rep.{max u w, u, v} k G) → Rep.coind.{u, v, w, max u w} φ A ≅ Rep.coind' φ A

coind φ A and coind' φ A are isomorphic representations, with the underlying k-linear equivalence given by coindVEquiv.

Defined in

Mathlib.RepresentationTheory.Coinduced

Cited by

0 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingMonoidMonoid