Theorems · Theorem · group theory
FDRep.char_dual
∀ {k : Type u} [inst : Field k] {G : Type v} [inst_1 : Group G] (V : FDRep k G) (g : G),
(FDRep.of (Representation.dual V.ρ)).character g = V.character g⁻¹- Defined in
- Mathlib.RepresentationTheory.Character
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Fieldstatement and proof · cited by 7,404
- Groupstatement and proof · cited by 6,238
- ModuleCatstatement · cited by 1,429
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- Module.Dualstatement · cited by 583
- Action.Vstatement · cited by 176
- ModuleCat.isFGstatement · cited by 53
- FGModuleCatstatement · cited by 52
- FDRepstatement and proof · cited by 33
- FGModuleCat.carrierstatement · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- FDRep.char_linHomproof · cited by 1