Notes on the norm map between the Hecke algebras of the Gelfand-Graev representations of \(\text{GL}(2,q^2)\) and \(\text{U}(2,q)\).

DOI10.1016/j.jalgebra.2008.07.025zbMath1186.20006OpenAlexW2093780850MaRDI QIDQ958637

Julianne G. Rainbolt

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.07.025

zbMATH Keywords

finite groups of Lie typeFrobenius mapscomplex representationsconnected reductive algebraic groupsGelfand-Graev Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Cites Work

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• Two remarks on irreducible characters of finite general linear groups
• Representations of reductive groups over finite fields
• Unitary Kloosterman sums and the Gelfand-Graev representation of \(GL_2\)
• On the Gelfand-Graev representations of a reductive group over a finite field
• Decomposition of gelfand-graev characters of gl₃(q)

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