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

M. A. Pellegrini; A. E. Zalesski

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arXiv · 1304.5086

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

M. A. Pellegrini·A. E. Zalesski

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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.

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M. A. Pellegrini, A. E. Zalesski. 2013-04-18. On characters of Chevalley groups vanishing at the non-semisimple elements. https://arxiv.org/abs/1304.5086

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