Theta lifts of strongly positive discrete series: the case of \((\widetilde{\mathrm{Sp}}(n),\mathrm{O}(V))\)
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Publication:692401
DOI10.2140/pjm.2012.259.445zbMath1277.22017OpenAlexW2148119033MaRDI QIDQ692401
Publication date: 5 December 2012
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://msp.org/pjm/2012/259-2/p10.xhtml
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)
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On Langlands quotients of the generalized principal series isomorphic to their Aubert duals ⋮ Local theta correspondence of tempered representations and Langlands parameters ⋮ Discrete series of odd general spin groups ⋮ Strongly positive representations of \(\mathrm{GSpin}_{2n+1}\) and the Jacquet module method (with an appendix ``Strongly positive representations in an exceptional rank-one reducibility case by Ivan Matić) ⋮ First occurrence indices of tempered representations of metaplectic groups ⋮ Strongly positive subquotients in a class of induced representations of classical \(p\)-adic groups ⋮ COMPOSITION FACTORS OF A CLASS OF INDUCED REPRESENTATIONS OF CLASSICAL -ADIC GROUPS
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