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arXiv · 2312.17551

Z\'eros de caract\`eres

Jean-Pierre Serre
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Abstract

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 We also give an unpublished result of Deligne, about replacing " of finite order " by " of order a power of a prime number ".

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Jean-Pierre Serre. 2023-12-29. Z\'eros de caract\`eres. https://arxiv.org/abs/2312.17551

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