On the values of unipotent characters in bad characteristic
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 37-63.
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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.
Publié le :
DOI : 10.4171/RSMUP/14
DOI : 10.4171/RSMUP/14
Classification :
20, 00
Mots-clés : Finite groups of Lie type, unipotent characters, character sheaves
Mots-clés : Finite groups of Lie type, unipotent characters, character sheaves
Affiliations des auteurs :
Geck, Meinolf 1
@article{RSMUP_2019__141__37_0, author = {Geck, Meinolf}, 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}, address = {Zuerich, Switzerland}, volume = {141}, year = {2019}, doi = {10.4171/RSMUP/14}, mrnumber = {3962820}, zbl = {1472.20096}, url = {http://www.numdam.org/articles/10.4171/RSMUP/14/} }
TY - JOUR AU - Geck, Meinolf TI - On the values of unipotent characters in bad characteristic JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2019 SP - 37 EP - 63 VL - 141 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/14/ DO - 10.4171/RSMUP/14 ID - RSMUP_2019__141__37_0 ER -
%0 Journal Article %A Geck, Meinolf %T On the values of unipotent characters in bad characteristic %J Rendiconti del Seminario Matematico della Università di Padova %D 2019 %P 37-63 %V 141 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/14/ %R 10.4171/RSMUP/14 %F RSMUP_2019__141__37_0
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. http://www.numdam.org/articles/10.4171/RSMUP/14/
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