On the values of unipotent characters in bad characteristic

  • Meinolf Geck

    Universität Stuttgart, Germany
On the values of unipotent characters in bad characteristic cover

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Abstract

Let be a Chevalley group over a finite field . By Lusztig’s and Shoji’s work, the problem of computing the values of the unipotent characters of is solved, in principle, by the theory of character sheaves; one issue in this solution is the determination of certain scalars relating two types of class functions on . We show that this issue can be reduced to the case where is a prime, which opens the way to use computer algebra methods. Here, and in a sequel to this article, we use this approach to solve a number of cases in groups of exceptional type which seemed hitherto out of reach.

Cite this article

Meinolf Geck, On the values of unipotent characters in bad characteristic. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 37–63

DOI 10.4171/RSMUP/14