Theorems · Theorem · group theory
Representation.char_mul_comm
∀ {G : Type u_1} {k : Type u_2} {V : Type u_3} [inst : Monoid G] [inst_1 : Field k] [inst_2 : AddCommGroup V]
[inst_3 : Module k V] (ρ : Representation k G V) (g h : G), ρ.character (h * g) = ρ.character (g * h)- Defined in
- Mathlib.RepresentationTheory.Character
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Fieldstatement and proof · cited by 7,404
- Monoidstatement and proof · cited by 3,887
- map_mulproof · cited by 1,137
- Representationstatement and proof · cited by 396
- LinearMap.traceproof · cited by 87
- Representation.characterstatement · cited by 10
- LinearMap.trace_mul_commproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Representation.char_conjproof · cited by 0