Complex representation growth of finite quasisimple groups of Lie type

Häsä, Jokke

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: Aug 14, 2016
• 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
• Public URL: https://durham-repository.worktribe.com/output/1424704