Jacquet modules of strongly positive representations of the metaplectic group $\widetilde {Sp(n)}$

DOI10.1090/S0002-9947-2012-05725-4zbMath1277.22018MaRDI QIDQ2838081

Ivan Matić

Publication date: 8 July 2013

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

zbMATH Keywords

metaplectic groupsclassical \(p\)-adic groupsJacquet modulesstrongly positive discrete series

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (12)

On Langlands quotients of the generalized principal series isomorphic to their Aubert duals ⋮ Composition series of a class of induced representations built on discrete series ⋮ Representations induced from essentially speh and strongly positive discrete series ⋮ Discrete series of odd general spin groups ⋮ Degenerate principal series for classical and odd GSpin groups in the general case ⋮ Representations induced from the Zelevinsky segment and discrete series in the half-integral case ⋮ On parabolic induction on inner forms of the general linear group over a non-archimedean local field ⋮ Strongly positive subquotients in a class of induced representations of classical \(p\)-adic groups ⋮ Aubert duals of discrete series: the first inductive step ⋮ COMPOSITION FACTORS OF A CLASS OF INDUCED REPRESENTATIONS OF CLASSICAL -ADIC GROUPS ⋮ Aubert duals of strongly positive discrete series and a class of unitarizable representations ⋮ On Jacquet modules of representations of segment type

Cites Work

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• Construction of discrete series for classical 𝑝-adic groups
• Jacquet modules of 𝑝-adic general linear groups
• On the non-unitary unramified dual for classical 𝑝–adic groups

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