Genericity of supercuspidal representations of p-adic Sp4

DOI10.1112/S0010437X08003849zbMath1217.22013arXiv0708.2636OpenAlexW3106431948MaRDI QIDQ3616547

Shaun Stevens, Corinne Blondel

Publication date: 25 March 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2636

zbMATH Keywords

symplectic groupssupercuspidal representationsWhittaker model

Mathematics Subject Classification ID

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

Related Items (6)

Generic cuspidal representations of \(U(2, 1)\) ⋮ On \(L\)-factors attached to generic representations of unramified \(\mathrm {U}(2,1)\) ⋮ Jordan blocks of cuspidal representations of symplectic groups ⋮ Weil representation and \(\beta\)-extensions ⋮ Kazhdan-Lusztig representations and Whittaker space of some genuine representations ⋮ Explicit Whittaker data for essentially tame supercuspidal representations

Cites Work

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• Supercuspidal representations of GL\(_n\): Explicit Whittaker functions
• Local tame lifting for \(GL(N)\). I: Simple characters
• Description of the admissible dual of \(U(2,1)(F)\) by the theory of types of C. Bushnell and P. Kutzko.
• Semisimple characters for \(p\)-adic classical groups
• On the derived subgroups of certain unipotent subgroups of reductive groups over infinite fields
• The supercuspidal representations of \(p\)-adic classical groups
• Intertwining and Supercuspidal Types for p -Adic Classical Groups
• On the realization of maximal simple types and epsilon factors of pairs
• Generalized Whittaker models and the Bernstein center

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