Explicit Shintani base change and the Macdonald correspondence for characters of GL\(_n(k)\)

DOI10.1016/j.jalgebra.2008.02.010zbMath1149.22016OpenAlexW2134297469MaRDI QIDQ934085

Ernst-Wilhelm Zink, Allan J. Silberger

Publication date: 29 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.02.010

zbMATH Keywords

Macdonald correspondenceShintani base-changeWeil-Deligne groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (3)

On values of the Bessel function for generic representations of finite general linear groups ⋮ Lifting representations of finite reductive groups. II: Explicit conorms ⋮ Epsilon factors of representations of finite general linear groups

Cites Work

• Unnamed Item
• Unnamed Item
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• Liftings of irreducible characters of finite reductive groups
• Zeta functions attached to finite general linear groups
• Representations of finite classical groups. A Hopf algebra approach
• Two remarks on irreducible characters of finite general linear groups
• Level zero types and Hecke algebras for local central simple algebras
• On the local Langlands conjecture for \(\text{GL}_n\)
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• CHARACTERS OF GL(n , F _q ) AND HOPF ALGEBRAS
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Correspondance de Langlands‐Kazhdan explicite dans le cas non ramifié
• Smooth representations of reductive p -ADIC groups: structure theory via types
• Une caractérisation de la correspondance de Langlands locale pour ${\rm GL}(n)$
• Weak Explicit Matching for Level Zero Discrete Series of Unit Groups of 𝔭-Adic Simple Algebras
• K-types for the tempered components of a p-adic general linear group (With an Appendix by P. Schneider, U. Stuhler: The definition of the tempered category)
• Descente de Shintani et Restriction des Scalaires
• An explicit matching theorem for level zero discrete series of unit groups ofp-adic simple algebras

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