Theorems · Definition · group theory
TannakaDuality.FiniteGroup.forget
(k G : Type u) → [inst : CommRing k] → [inst_1 : Group G] → CategoryTheory.LaxMonoidalFunctor (FDRep k G) (FGModuleCat k)
The monoidal forgetful functor from FDRep k G to FGModuleCat k.
- Defined in
- Mathlib.RepresentationTheory.Tannaka
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ModuleCatstatement · cited by 1,429
- CategoryTheory.forget₂proof · cited by 260
- CategoryTheory.LaxMonoidalFunctorstatement · cited by 96
- ModuleCat.isFGstatement · cited by 53
- FGModuleCatstatement and proof · cited by 52
- FDRepstatement and proof · cited by 33
- CategoryTheory.LaxMonoidalFunctor.ofproof · cited by 7
Cited by12
Results whose statement or proof uses this declaration.
- TannakaDuality.FiniteGroup.equivHomstatement · cited by 3
- TannakaDuality.FiniteGroup.algHomOfRightFDRepCompstatement and proof · cited by 2
- TannakaDuality.FiniteGroup.toRightFDRepComp_in_rightRegularstatement and proof · cited by 1
- TannakaDuality.FiniteGroup.toRightFDRepComp_injectivestatement and proof · cited by 1
- TannakaDuality.FiniteGroup.equivHom_applystatement · cited by 1
- TannakaDuality.FiniteGroup.equivstatement · cited by 0
- TannakaDuality.FiniteGroup.algHomOfRightFDRepComp.congr_simpstatement and proof · cited by 0
- TannakaDuality.FiniteGroup.equivHom_injectivestatement and proof · cited by 0
- TannakaDuality.FiniteGroup.equivHom_surjectivestatement and proof · cited by 0
- TannakaDuality.FiniteGroup.forget_mapstatement · cited by 0
- TannakaDuality.FiniteGroup.forget_objstatement · cited by 0
- TannakaDuality.FiniteGroup.map_mul_toRightFDRepCompstatement and proof · cited by 0