Generalized Whittaker functions for degenerate principal series of $GL(4,\R)$

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dc.creatorHiroe, Kazuki
dc.date2008-09-12
dc.date.accessioned2026-07-07T10:02:30Z
dc.date.available2026-07-07T10:02:30Z
dc.descriptionWe give a characterization of a generalized Whittaker model of a degenerate principal series representation of $GL(n,\R)$ as the kernel of some differential operators. By this characterization, we investigate some examples on $GL(4,\R)$. We obtain the dimensions of the generalized Whittaker models and give their basis in terms of hypergeometric functions of one and two variables. We show the multiplicity one of the generalized Whittaker models by using the theory of hypergeometric functions.
dc.description54 pages
dc.identifierhttps://arxiv.org/abs/0809.2127
dc.identifierhttp://arxiv.org/abs/0809.2127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168996
dc.subjectRepresentation Theory
dc.titleGeneralized Whittaker functions for degenerate principal series of $GL(4,\R)$
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