Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles

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dc.creatorPanyushev, Dmitri I.
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:08:00Z
dc.date.available2026-07-07T13:08:00Z
dc.descriptionLet $G$ be a semisimple algebraic group and $B$ a Borel subgroup. We consider generalisations of Lusztig's q-analogues of weight multiplicity, where the set of positive roots is replaced with the multiset of weights of a $B$-submodule of an arbitrary finite-dimensional $G$-module.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0904.3721
dc.identifierhttp://arxiv.org/abs/0904.3721
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228280
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleGeneralised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles
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