Theta Correspondence for U(1,1) and U(2)

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dc.creatorStehnova, Jitka
dc.date2008-11-24
dc.date.accessioned2026-07-07T10:20:43Z
dc.date.available2026-07-07T10:20:43Z
dc.descriptionIn this paper, we parametrize certain irreducible supercuspidal representations of U(1,1) and U(2) via explicit induction data. The parametrization depends on traceless elements of negative valuation in a quadratic extension of base field. We use the lattice model of the Weil representation to determine which traceless elements are involved in the theta correspondence for reductive dual pair U(1,1) and U(2).
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0811.3922
dc.identifierhttp://arxiv.org/abs/0811.3922
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174940
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.subject22E50, 11F27, 11F70
dc.titleTheta Correspondence for U(1,1) and U(2)
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