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Complex representation growth of finite quasisimple groups of Lie type

Häsä, Jokke

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Authors

Jokke Häsä



Abstract

We give upper bounds to the number of n-dimensional irreducible complex representations of finite quasisimple groups belonging to different families of groups of Lie type. The bounds have the form cns, where c and s are explicit positive constants that both depend on the family in question. From these bounds, we deduce a uniform bound of the form cn to the number of n-dimensional irreducible representations of all finite quasisimple groups of Lie type. Finally, an application of these results to counting conjugacy classes of maximal subgroups of Lie groups is discussed.

Citation

Häsä, J. (2015). Complex representation growth of finite quasisimple groups of Lie type. Journal of Group Theory, 18(6), 845-885. https://doi.org/10.1515/jgth-2015-0025

Journal Article Type Article
Acceptance Date Jun 9, 2015
Publication Date Nov 1, 2015
Deposit Date Dec 14, 2015
Publicly Available Date Mar 29, 2024
Journal Journal of Group Theory
Print ISSN 1433-5883
Electronic ISSN 1435-4446
Publisher De Gruyter
Peer Reviewed Peer Reviewed
Volume 18
Issue 6
Pages 845-885
DOI https://doi.org/10.1515/jgth-2015-0025

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Copyright Statement
The final publication is available at www.degruyter.com




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