The b-functions for prehomogeneous vector spaces of commutative parabolic type and generalized universal Verma modules

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dc.creatorKamita, Atsushi
dc.date2002-06-26
dc.date.accessioned2026-07-07T04:49:22Z
dc.date.available2026-07-07T04:49:22Z
dc.descriptionWe shall give a uniform expression and a uniform calculation for the b-functions of prehomogeneous vector spaces of commutative parabolic type, which were previously calculated by case-by-case analysis. Our method is a generalization of Kashiwara's approach using the universal Verma modules. We shall also give a new proof for the criterion of the irreducibility of the generalized Verma module in terms of b-functions due to Suga, Gyoja, Wachi.
dc.description20 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0206274
dc.identifierhttp://arxiv.org/abs/math/0206274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64399
dc.subjectRepresentation Theory
dc.subject17B10; 20G05
dc.titleThe b-functions for prehomogeneous vector spaces of commutative parabolic type and generalized universal Verma modules
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