On characters of Chevalley groups vanishing at the non-semisimple elements
Group Theory
2013-06-18 v2
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.
Keywords
Cite
@article{arxiv.1304.5086,
title = {On characters of Chevalley groups vanishing at the non-semisimple elements},
author = {M. A. Pellegrini and A. E. Zalesski},
journal= {arXiv preprint arXiv:1304.5086},
year = {2013}
}
Comments
Dedicated to Lino Di Martino on the occasion of his 65th birthday