The Shintani descents of Suzuki Groups and consequences

2005/11/23 by Olivier Brunat, Brunat, Olivier
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.math/0511580

30 pages

arxiv created 2005/11/23 · openalex publication_date 2005/11/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main aim of this paper is to associate to every cuspidal unipotent character of the Suzuki group its root of unity and to give a possible defintion of the Fourier matrix associated to the family of cuspidal unipotent characters of this group. We compute to this end the Shintani descents of Suzuki groups and use results of Digne and Michel.

Related

• On the unipotent characters of the Ree groups of type G₂
• On the irreducible characters of Suzuki p-groups
• Unipotent almost characters of simple p-adic groups, II
• Commutation of Shintani descent and Jordan decomposition
• Descents of unipotent cuspidal representations of finite classical groups