Unipotent characters of the Chevalley groups \(D_ 4(q)\), \(q\) odd

DOI10.1007/BF02567762zbMath0813.20016OpenAlexW2082235099MaRDI QIDQ1802999

Meinolf Geck, Götz Pfeiffer

Publication date: 29 June 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155755

zbMATH Keywords

Green functionsclassical groupsmodular representations\(\ell\)-modular Brauer characterChevalley groups \(D_ 4(q)\)cuspidal unipotent character

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items

The decomposition numbers of Hecke algebras of type \(F_ 4\) with unequal parameters ⋮ On the decomposition numbers of \(\mathrm{SO}_8^+(2^f)\) ⋮ Decomposition matrices for exceptional groups at \(d=4\) ⋮ Rational Brauer characters. ⋮ Bounding Harish-Chandra series ⋮ Rouquier blocks in Chevalley groups of type \(E\). ⋮ On the cubic Shimura lift for \(PGL_3\) ⋮ On \(G_2(\mathbb{F}_q)\)-invariants of representations of \(D_4(\mathbb{F}_q)\). ⋮ On the values of unipotent characters in bad characteristic

Uses Software

• GAP
• Maple

Cites Work

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• Characters of Reductive Groups over a Finite Field. (AM-107)
• Centralizers of Semisimple Elements in Finite Groups of Lie Type
• A computation of green functions for some classical groups
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)