Regular representation on the big cell and big projective modules in the category O

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dc.creatorStyrkas, Konstantin
dc.date2004-10-27
dc.date.accessioned2026-07-07T05:13:45Z
dc.date.available2026-07-07T05:13:45Z
dc.descriptionWe study the algebra of regular functions on the big cell of the Gauss decomposition of a simple complex Lie group G. We prove that it is spanned by the matrix elements of big projective modules in the BGG category O, and admits a decomposition of Peter-Weyl type. The subspace of Whittaker vectors in the regular representation on the big cell gives a realization of the big projective modules in O, similar to the Borel-Weil theorem. These results can be extended to the quantum groups.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0410588
dc.identifierhttp://arxiv.org/abs/math/0410588
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73028
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleRegular representation on the big cell and big projective modules in the category O
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