Discrete Components of Some Complementary Series

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dc.creatorVenkataramana, T. N.
dc.creatorSpeh, B.
dc.date2009-02-26
dc.date.accessioned2026-07-07T12:47:09Z
dc.date.available2026-07-07T12:47:09Z
dc.descriptionWe show that complementary series representations of SO(n,1) contain discretely complementary series of SO(m,1) provided the continuous parameter is sufficiently close to the first point of reducibility and the representation of the compact part of the Levi is a sufficiently small fundamental representation. We prove as a consequence that cohomological representations of SO(n,1) of degree $i$ less than m/2 contain discretely, cohomogical representations of SO(m,1).
dc.identifierhttps://arxiv.org/abs/0902.4620
dc.identifierhttp://arxiv.org/abs/0902.4620
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221623
dc.subjectRepresentation Theory
dc.titleDiscrete Components of Some Complementary Series
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