Strongly positive representations of metaplectic groups
type: Item
instance of: scholarly article
title: Strongly positive representations of metaplectic groups
zbMATH Open document ID: 1254.22010
author: Ivan Matić
published in: Journal of Algebra
publication date: 2011-12-19T00:00:00Z
review text: The strongly positive discrete series for classical \(p\)-adic groups are part of the bigger classification of discrete series of \textit{C. Moeglin} and \textit{M. Tadić} [J. Am. Math. Soc. 15, No. 3, 715--786 (2002; Zbl 0992.22015)]. In the paper under review, the author classifies the strongly positive discrete series for metaplectic groups.
Mathematics Subject Classification ID: 22E50
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 5990155
zbMATH Keywords: Jacquet modules
zbMATH Keywords: discrete series
zbMATH Keywords: metaplectic \(p\)-adic groups
reviewed by: Goran Muić
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2011.02.015
OpenAlex ID: W2039332844
cites work: Irreducibility of the unitary principal series of p-adic \({\widetilde{Sp(n)}}\)
cites work: The unitary dual of \(p\)-adic \(\widetilde {\text{Sp}(2)}\)
cites work: On an algebraic approach to the Zelevinsky classification for classical \(p\)-adic groups
cites work: Rank One Reducibility for Metaplectic Groups via Theta Correspondence
cites work: Parabolic induction and Jacquet functors for metaplectic groups
cites work: Jacquet modules of 𝑝-adic general linear groups
cites work: Q1614961
cites work: Construction of discrete series for classical 𝑝-adic groups
cites work: Howe correspondences on a \(p\)-adic field
cites work: Composition series of generalized principal series; the case of strongly positive discrete series
cites work: On the non-unitary unramified dual for classical 𝑝–adic groups
cites work: A geometric construction of intertwining operators for reductive \(p\)-adic groups
cites work: On some explicit formulas in the theory of Weil representation
cites work: On reducibility of parabolic induction
cites work: On regular square integrable representations of p -adic groups
cites work: Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
DOI: 10.1016/J.JALGEBRA.2011.02.015
description: scientific article; zbMATH DE number 5990155