On characters of Chevalley groups vanishing at the non-semisimple elements

Abstract

Let G be a finite simple group of Lie type. In this paper we study characters of G that vanish at the non-semisimple elements and whose degree is equal to the order of a maximal unipotent subgroup of G. Such characters can be viewed as a natural generalization of the Steinberg character. For groups G of small rank we also determine the characters of this degree vanishing only at the non-identity unipotent elements.

Dedicated to Lino Di Martino on the occasion of his 65th birthday

Cited by in corpus (1)

• Irreducible characters of finite simple groups constant at the p-singular elements