Theorems · Definition · group theory
Rep.ofModuleMonoidAlgebra
{k : Type u} →
{G : Type v} →
[inst : CommRing k] →
[inst_1 : Monoid G] → CategoryTheory.Functor (ModuleCat (MonoidAlgebra k G)) (Rep.{w, u, v} k G)Functorially convert a module over k[G] into a representation of G.
- Defined in
- Mathlib.RepresentationTheory.Rep.Iso
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, 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
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- LinearMapproof · cited by 10,215
- Monoidstatement and proof · cited by 3,887
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierproof · cited by 997
- Repstatement · cited by 843
- MonoidAlgebrastatement and proof · cited by 590
- ModuleCat.Hom.homproof · cited by 341
- LinearMap.toAddHomproof · cited by 165
Cited by8
Results whose statement or proof uses this declaration.
- Rep.unitIsoAddEquivstatement · cited by 1
- Rep.ofModuleMonoidAlgebra_obj_coestatement · cited by 0
- Rep.ofModuleMonoidAlgebra_obj_ρstatement · cited by 0
- Rep.equivalenceModuleMonoidAlgebraproof · cited by 0
- Rep.unit_iso_commstatement · cited by 0
- Rep.unitIsostatement and proof · cited by 0
- Rep.counitIsostatement and proof · cited by 0
- Rep.counitIsoAddEquivstatement · cited by 0