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Theorems · Definition · group theory

Rep.ActionToRep_RepToAction

(k : Type u) →
  (G : Type v) →
    [inst : Ring k] →
      [inst_1 : Monoid G] → (X : Rep.{w, u, v} k G) → (Rep.ActionToRep k G).obj ((Rep.RepToAction k G).obj X) ≅ X

counitIso of the equivalence between Action and Rep.

Defined in
Mathlib.RepresentationTheory.Rep.Basic
Cited by
0 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Quot.sound
Assumes
RingMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Rep.repIsoAction · cited by 0Rep.repIsoActionCategoryTheory.Functor.obj · cited by 19642Functor.objRing · cited by 7463RingCategoryTheory.Iso · cited by 3963CategoryTheory.IsoMonoid · cited by 3887MonoidModuleCat · cited by 1429ModuleCatRep · cited by 843RepLinearMap.id · cited by 625LinearMap.idAction · cited by 206ActionRep.ofHom · cited by 45Rep.ofHomRep.RepToAction · cited by 4Rep.RepToActionRep.ActionToRep · cited by 3Rep.ActionToRepRep.ActionToRep_RepToActionCITED BYCITES

Cites11

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Cited by1

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