Zéros de caractères

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 We also give an unpublished result of Deligne, about replacing " of finite order " by " of order a power of a prime number ".

In French. To appear in L'Enseignement Mathématique