Iwahori component of the Gelfand-Graev representation

DOI10.1007/s00209-017-1882-3zbMath1430.11069OpenAlexW2601276413MaRDI QIDQ1706081

Gordan Savin, Kei Yuen Chan

Publication date: 21 March 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-017-1882-3

zbMATH Keywords

Gelfand-Graev representation

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (9)

Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case) ⋮ The Langlands-Shahidi method for pairs via types and covers ⋮ A triangular system for local character expansions of Iwahori-spherical representations of general linear groups ⋮ The Gelfand–Graev representation of classical groups in terms of Hecke algebras ⋮ Automorphic forms, geometry and arithmetic. Abstracts from the workshop held August 22--28, 2021 (hybrid meeting) ⋮ Principal series component of Gelfand-Graev representation ⋮ Homological branching law for \((\mathrm{GL}_{n+1}(F), \mathrm{GL}_n(F))\): projectivity and indecomposability ⋮ Iwahori component of Bessel model spaces ⋮ Local Langlands correspondence in rigid families

Cites Work

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• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Theory of spherical functions on reductive algebraic groups over p-adic fields
• Representations of Reductive p -Adic Groups: Localization of Hecke Algebras and Applications
• Affine Hecke Algebras and Their Graded Version
• Generalized Whittaker models and the Bernstein center

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