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Theorems · Definition · group theory

AddChar.circleEquivComplex

{α : Type u_1} → [inst : AddCommGroup α] → [Finite α] → AddChar α Circle ≃+ AddChar α ℂ

The circle-valued characters of a finite abelian group are the same as its complex-valued characters.

Defined in
Mathlib.Analysis.Fourier.FiniteAbelian.PontryaginDuality
Cited by
2 results in Mathlib
Foundations
Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupFinite

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