The Schur indices of the cuspidal unipotent characters of the finite unitary groups

DOI10.3792/pjaa.72.111zbMath0860.20035OpenAlexW1972066336MaRDI QIDQ1817236

Zyozyu Ohmori

Publication date: 13 April 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.72.111

zbMATH Keywords

connected reductive algebraic groupscomplex irreducible charactersSchur indexFrobenius endomorphismsgroups of fixed pointscuspidal unipotent characters

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 (7)

String \(C\)-groups with real Schur index 2 ⋮ Unnamed Item ⋮ Generating functions for real character degree sums of finite general linear and unitary groups ⋮ CHARACTER DEGREE SUMS AND REAL REPRESENTATIONS OF FINITE CLASSICAL GROUPS OF ODD CHARACTERISTIC ⋮ Duality, central characters, and real-valued characters of finite groups of Lie type. ⋮ Frobenius–Schur indicators of unipotent characters and the twisted involution module ⋮ Rationality properties of unipotent representations.

Cites Work

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• Representations of reductive groups over finite fields
• Coxeter orbits and eigenspaces of Frobenius
• Irreducible representations of finite classical groups
• The characters of the finite unitary groups
• On the Schur indices of the finite unitary groups
• On the existence of characters of the Schur index \(2\) of the simple finite Steinberg groups of type \(({^ 2E_ 6})\)
• Representations of Generic Algebras and Finite Groups of Lie Type
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups

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