Cuspidal Matrix Representations for GL2 (q ) and GL3 (q )

DOI10.1112/plms/s3-64.3.487zbMath0813.20045OpenAlexW2093802643MaRDI QIDQ4024960

Roger W. Carter

Publication date: 18 February 1993

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-64.3.487

zbMATH Keywords

complex representationsprimitive idempotentendomorphism algebracuspidal modulesGelfand-Graev representationcuspidal charactersBessel vector

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (8)

Cuspidal Modules as Summands of a Gel'fand–Graev Module ⋮ THE IRREDUCIBLE REPRESENTATIONS OF THE HECKE ALGEBRAS CONSTRUCTED FROM THE GELFAND-GRAEV REPRESENTATIONS OF GL(3, q) AND U(3, q) ⋮ The Gelfand-Graev representation of \(U(3,q)\) ⋮ On values of the Bessel function for generic representations of finite general linear groups ⋮ Restriction of a cuspidal module for finite general linear groups. ⋮ The generalized Gelfand-Graev representations of \(U(3,q)\) ⋮ Unitary Kloosterman sums and the Gelfand-Graev representation of \(GL_2\) ⋮ The Cuspidal Modules of the Finite General Linear Groups

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