On the values of unipotent characters in bad characteristic
Geck, Meinolf1
1 Universität Stuttgart, Germany
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 37-63.

Let G(q) be a Chevalley group over a finite field 𝔽q. By Lusztig’s and Shoji’s work, the problem of computing the values of the unipotent characters of G(q) 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 G(q). We show that this issue can be reduced to the case where q 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.

Publié le :
DOI : 10.4171/RSMUP/14
Classification : 20, 00
Mots-clés : Finite groups of Lie type, unipotent characters, character sheaves
Geck, Meinolf 1

1 Universität Stuttgart, Germany 
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     title = {On the values of unipotent characters in bad characteristic},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {37--63},
     publisher = {European Mathematical Society Publishing House},
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Geck, Meinolf. On the values of unipotent characters in bad characteristic. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 37-63. doi : 10.4171/RSMUP/14. https://www.numdam.org/articles/10.4171/RSMUP/14/

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