Theorems · Definition · group theory
TannakaDuality.FiniteGroup.algHomOfRightFDRepComp
{k G : Type u} →
[inst : CommRing k] →
[inst_1 : Group G] → [Finite G] → CategoryTheory.Aut (TannakaDuality.FiniteGroup.forget k G) → (G → k) →ₐ[k] G → kThe rightFDRep component of η : Aut (forget k G) gives rise to
an algebra morphism (G → k) →ₐ[k] (G → k).
- Defined in
- Mathlib.RepresentationTheory.Tannaka
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapproof · cited by 10,215
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Iso.invproof · cited by 6,514
- Groupstatement and proof · cited by 6,238
- AlgHomstatement · cited by 3,236
- Finitestatement and proof · cited by 3,029
- ModuleCatstatement · cited by 1,429
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- ModuleCat.Hom.homproof · cited by 341
Cited by2
Results whose statement or proof uses this declaration.
- TannakaDuality.FiniteGroup.toRightFDRepComp_in_rightRegularproof · cited by 1
- TannakaDuality.FiniteGroup.algHomOfRightFDRepComp.congr_simpstatement and proof · cited by 0