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Theorems · Theorem · group theory

FDRep.char_mul_comm

∀ {k : Type u} [inst : Field k] {G : Type v} [inst_1 : Monoid G] (V : FDRep k G) (g h : G),
  V.character (h * g) = V.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
Assumes
FieldMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FDRep.char_conj · cited by 0FDRep.char_conjDFunLike.coe · cited by 62936DFunLike.coeField · cited by 7404FieldMonoid · cited by 3887Monoidmap_mul · cited by 1137map_mulAction.V · cited by 176Action.VLinearMap.trace · cited by 87LinearMap.traceFDRep · cited by 33FDRepFGModuleCat.carrier · cited by 28FGModuleCat.carrierFDRep.ρ · cited by 20FDRep.ρFDRep.character · cited by 11FDRep.characterLinearMap.trace_mul_comm · cited by 8LinearMap.trace_mul_commFDRep.char_mul_commCITED BYCITES

Cites11

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Cited by1

Results whose statement or proof uses this declaration.