Theorems · Definition · group theory
Rep.repIsoAction
(k : Type u) → (G : Type v) → [inst : Ring k] → [inst_1 : Monoid G] → Rep.{w, u, v} k G ≌ Action (ModuleCat k) GThe category equivalence between Rep and Action.
- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Monoidstatement and proof · cited by 3,887
- ModuleCatstatement · cited by 1,429
- Repstatement · cited by 843
- CategoryTheory.Equivalencestatement · cited by 601
- Actionstatement · cited by 206
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- Rep.RepToActionproof · cited by 4
- Rep.ActionToRepproof · cited by 3
- Rep.ActionToRep_RepToActionproof · cited by 0
- Rep.RepToAction_ActionToRepproof · cited by 0
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.