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Z\'eros de caract\`eres

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arxiv 2312.17551 v4 pith:EUONJKHL submitted 2023-12-29 math.GR math.AG

Jean-Pierre Serre This is my paper · ORCID
classification math.GRmath.AG
keywords orderfinitecaractcharactercompactcomplexdegreedeligne
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Let G be a compact real Lie group, and let f be an irreducible complex character of G, of degree > 1. We show that there exists an element g of G, of finite order, such that f(g)=0. We also give an unpublished result of Deligne, about replacing " of finite order " by " of order a power of a prime number ".

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  1. Character theory at a torsion element

    math.RT 2025-04 conditional novelty 6.0 of 10

    Character values at principal torsion elements of a compact Lie group equal, up to sign and a constant, the dimension of a representation of a dual centralizer group.

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