Theorems · Definition · group theory
Rep.RepToAction
(k : Type u) →
(G : Type v) →
[inst : Ring k] → [inst_1 : Monoid G] → CategoryTheory.Functor (Rep.{w, u, v} k G) (Action (ModuleCat k) G)Every object in Rep k G naturally correspond to an object in Action.
- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Ringstatement and proof · cited by 7,463
- Monoidstatement and proof · cited by 3,887
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- Rep.Vproof · cited by 695
- ModuleCat.ofproof · cited by 594
- RingEquiv.symmproof · cited by 567
- MonoidHom.compproof · cited by 469
- Rep.ρproof · cited by 356
- Actionstatement · cited by 206
Cited by8
Results whose statement or proof uses this declaration.
- Rep.RepToAction_obj_V_carrierstatement and proof · cited by 0
- Rep.RepToAction_obj_ρstatement and proof · cited by 0
- Rep.forgetNatIsoActionForgetstatement · cited by 0
- Rep.ActionToRep_RepToActionstatement · cited by 0
- Rep.repIsoActionproof · cited by 0
- Rep.RepToAction_ActionToRepstatement and proof · cited by 0
- Rep.RepToAction_map_homstatement and proof · cited by 0
- Rep.RepToAction_objstatement · cited by 0