Theta lifts of strongly positive discrete series: the case of \((\widetilde{\mathrm{Sp}}(n),\mathrm{O}(V))\)

DOI10.2140/pjm.2012.259.445zbMath1277.22017OpenAlexW2148119033MaRDI QIDQ692401

Ivan Matić

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

zbMATH Keywords

theta correspondencemetaplectic groupsstrongly positive discrete series

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 (7)

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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