Theorems · Theorem · group theory
FDRep.char_tensor
∀ {k : Type u} [inst : Field k] {G : Type v} [inst_1 : Monoid G] (V W : FDRep k G),
(CategoryTheory.MonoidalCategoryStruct.tensorObj V W).character = V.character * W.characterThe character is multiplicative under the tensor product.
- Defined in
- Mathlib.RepresentationTheory.Character
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Monoidstatement and proof · cited by 3,887
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- TensorProductproof · cited by 2,545
- ModuleCatstatement · cited by 1,429
- TensorProduct.mapproof · cited by 250
- Action.Vproof · cited by 176
- LinearMap.traceproof · cited by 87
- ModuleCat.isFGstatement · cited by 53
- FGModuleCatstatement · cited by 52
- FDRepstatement and proof · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- FDRep.char_linHomproof · cited by 1