Theorems · Theorem · group theory
Representation.char_one
∀ {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] [FiniteDimensional k V] (ρ : Representation k G V), ρ.character 1 = ↑(Module.finrank k V)- Defined in
- Mathlib.RepresentationTheory.Character
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement and proof · cited by 1,770
- map_oneproof · cited by 861
- Representationstatement and proof · cited by 396
- LinearMap.traceproof · cited by 87
- Representation.characterstatement · cited by 10
- LinearMap.trace_oneproof · cited by 4
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