Z\'eros de caract\`eres
Group Theory
2025-02-13 v4 Algebraic Geometry
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 We also give an unpublished result of Deligne, about replacing " of finite order " by " of order a power of a prime number ".
Cite
@article{arxiv.2312.17551,
title = {Z\'eros de caract\`eres},
author = {Jean-Pierre Serre},
journal= {arXiv preprint arXiv:2312.17551},
year = {2025}
}
Comments
In French. To appear in L'Enseignement Math\'ematique