Theorems · Definition · group theory
Rep.toModuleMonoidAlgebra
{k : Type u} →
{G : Type v} →
[inst : CommRing k] →
[inst_1 : Monoid G] → CategoryTheory.Functor (Rep.{w, u, v} k G) (ModuleCat (MonoidAlgebra k G))Functorially convert a representation of G into a module over k[G].
- Defined in
- Mathlib.RepresentationTheory.Rep.Iso
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 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.
- Quiver.Homproof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- Monoidstatement and proof · cited by 3,887
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- ModuleCat.ofproof · cited by 594
- MonoidAlgebrastatement and proof · cited by 590
- Rep.ρproof · cited by 356
- Representation.asModuleproof · cited by 22
- Rep.toModuleMonoidAlgebraMapproof · cited by 0
Cited by6
Results whose statement or proof uses this declaration.
- Rep.unitIsoAddEquivstatement · cited by 1
- Rep.unit_iso_commstatement · cited by 0
- Rep.counitIsostatement and proof · cited by 0
- Rep.equivalenceModuleMonoidAlgebraproof · cited by 0
- Rep.unitIsostatement and proof · cited by 0
- Rep.counitIsoAddEquivstatement · cited by 0