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Theorems · Definition · group theory

AddChar.complexBasis

(α : Type u_1) → [inst : AddCommGroup α] → [Finite α] → Module.Basis (AddChar α ℂ) ℂ (α → ℂ)

Complex-valued characters of a finite abelian group α form a basis of α → ℂ.

Defined in
Mathlib.Analysis.Fourier.FiniteAbelian.PontryaginDuality
Cited by
4 results in Mathlib
Foundations
Depth 236 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupFinite

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Cited by4

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