A character formula for the unitary group over a finite field

DOI10.1016/0021-8693(83)90072-8zbMath0521.20023OpenAlexW2013187634MaRDI QIDQ1055556

Louis Solomon, Peter Orlik

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90072-8

zbMATH Keywords

determinantWeil representationunitary groups over finite fieldsdimension of fixed point setreflexions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items

Factorization of transformations over a local ring, Reflection Groups, Arrangements in unitary and orthogonal geometry over finite fields

Cites Work

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• Unitary reflection groups and cohomology
• Weil representations associated to finite fields
• A Fixed-Point Formula for the Classical Groups Over a Finite Field
• On the Decomposition of Orthogonalities into Symmetries
• Finite Unitary Reflection Groups