Radon transforms for quasi-equivariant D-modules on generalized flag manifolds

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dc.creatorMarastoni, Corrado
dc.creatorTanisaki, Toshiyuki
dc.date1999-11-14
dc.date.accessioned2026-07-07T05:31:35Z
dc.date.available2026-07-07T05:31:35Z
dc.descriptionIn this paper we deal with Radon transforms for generalized flag manifolds in the framework of quasi-equivariant D-modules. We shall follow the method employed by Baston-Eastwood and analyze the Radon transform using the Bernstein-Gelfand-Gelfand resolution and the Borel-Weil-Bott theorem. We shall determine the transform completely on the level of the Grothendieck groups. Moreover, we point out a vanishing criterion and give a sufficient condition in order that a D-module associated to an equivariant locally free O-module is transformed into an object of the same type. The case of maximal parabolic subgroups of classical simple groups is studied in detail.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/9911095
dc.identifierhttp://arxiv.org/abs/math/9911095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79399
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject20G05;58G07
dc.titleRadon transforms for quasi-equivariant D-modules on generalized flag manifolds
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