The characters of the generalized Steinberg representations of finite general linear groups on the regular elliptic set

DOI10.1090/S0002-9947-00-02454-5zbMath0952.22008MaRDI QIDQ4955733

Ernst-Wilhelm Zink, Allan J. Silberger

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite fieldreductive groupgeneral linear groupgenericWhittaker vectorSteinberg representation

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (5)

The inertial Jacquet-Langlands correspondence ⋮ On values of the Bessel function for generic representations of finite general linear groups ⋮ On gamma factors for representations of finite general linear groups ⋮ Reflection factorizations of Singer cycles ⋮ Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case

Cites Work

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• Zeta functions attached to finite general linear groups
• Truncation and duality in the character ring of a finite group of Lie type
• Induced cuspidal representations and generalised Hecke rings
• Representations of reductive groups over finite fields
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Characters of Reductive Groups over a Finite Field. (AM-107)
• The Characters of the Finite General Linear Groups
• A comparison theorem and other formulae in the character ring of a finite group of Lie type
• Weak Explicit Matching for Level Zero Discrete Series of Unit Groups of 𝔭-Adic Simple Algebras

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