Parabolic induction and Jacquet functors for metaplectic groups

DOI10.1016/j.jalgebra.2009.07.001zbMath1185.22013OpenAlexW2068856711MaRDI QIDQ2268606

Marcela Hanzer, Goran Muić

Publication date: 8 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.07.001

zbMATH Keywords

parabolic inductionmetaplectic groupsJacquet functorsZelevinsky classification

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (15)

Ternary quadratic forms and Heegner divisors ⋮ Generic representations of metaplectic groups and their theta lifts ⋮ \(R\)-groups for metaplectic groups ⋮ Theta lifts of generic representations: the case of odd orthogonal groups ⋮ Big theta equals small theta generically ⋮ PERIODS OF AUTOMORPHIC FORMS: THE TRILINEAR CASE ⋮ Strongly positive representations of metaplectic groups ⋮ Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence ⋮ Irreducibility of the unitary principal series of p-adic \({\widetilde{Sp(n)}}\) ⋮ A proof of the Howe duality conjecture ⋮ First occurrence indices of tempered representations of metaplectic groups ⋮ Theta correspondence for \(p\)-adic dual pairs of type I ⋮ A theory of Miyawaki liftings: the Hilbert-Siegel case ⋮ Jacquet modules of strongly positive representations of the metaplectic group $\widetilde {Sp(n)}$ ⋮ The Zelevinsky classification of unramified representations of the metaplectic group

Cites Work

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• On an algebraic approach to the Zelevinsky classification for classical \(p\)-adic groups
• The unitary dual of the Hermitian quaternionic group of split rank 2
• On the local theta-correspondence
• Howe correspondences on a \(p\)-adic field
• Weil's representation and the spectrum of the metaplectic group
• On some explicit formulas in the theory of Weil representation
• Structure arising from induction and Jacquet modules of representations of classical \(p\)-adic groups
• A geometric construction of intertwining operators for reductive \(p\)-adic groups
• On regular square integrable representations of p -adic groups
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• On Certain L-Functions
• Induced representations of reductive ${\germ p}$-adic groups. I
• Construction of discrete series for classical 𝑝-adic groups
• Modular forms on non-linear double covers of algebraic groups

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