Theorems · Definition · group theory
TannakaDuality.FiniteGroup.equivHom
(k G : Type u) → [inst : CommRing k] → [inst_1 : Group G] → G →* CategoryTheory.Aut (TannakaDuality.FiniteGroup.forget k G)
The group homomorphism G →* Aut (forget k G) shown to be an isomorphism.
- Defined in
- Mathlib.RepresentationTheory.Tannaka
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- ModuleCatstatement · cited by 1,429
- CategoryTheory.LaxMonoidalFunctorstatement · cited by 96
- CategoryTheory.Autstatement · cited by 96
- ModuleCat.isFGstatement · cited by 53
- FGModuleCatstatement · cited by 52
- FDRepstatement · cited by 33
- TannakaDuality.FiniteGroup.forgetstatement · cited by 9
- CategoryTheory.LaxMonoidalFunctor.isoOfComponentsproof · cited by 4
- TannakaDuality.FiniteGroup.equivAppproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- TannakaDuality.FiniteGroup.equivHom_applystatement and proof · cited by 1
- TannakaDuality.FiniteGroup.equivproof · cited by 0
- TannakaDuality.FiniteGroup.equivHom_injectivestatement and proof · cited by 0
- TannakaDuality.FiniteGroup.equivHom_surjectivestatement · cited by 0