The Gelfand-Graev representation of \(U(3,q)\)

DOI10.1006/jabr.1996.6860zbMath0877.20031OpenAlexW2002201365MaRDI QIDQ1355533

Julianne G. Rainbolt

Publication date: 22 October 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6860

zbMATH Keywords

Hecke algebraslinear representationsirreducible charactersunitary groupsmaximal unipotent subgroupsinduced representationsGelfand-Graev representations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (3)

THE IRREDUCIBLE REPRESENTATIONS OF THE HECKE ALGEBRAS CONSTRUCTED FROM THE GELFAND-GRAEV REPRESENTATIONS OF GL(3, q) AND U(3, q) ⋮ On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations ⋮ The generalized Gelfand-Graev representations of \(U(3,q)\)

Cites Work

• On the Gelfand-Graev representations of a reductive group over a finite field
• Lectures on Chevalley Groups
• Cuspidal Matrix Representations for GL₂ (q ) and GL₃ (q )
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