Quantum superalgebra representations on cohomology groups of non-commutative bundles

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dc.creatorZhang, R. B.
dc.date2003-11-07
dc.date.accessioned2026-07-07T05:02:42Z
dc.date.available2026-07-07T05:02:42Z
dc.descriptionQuantum homogeneous supervector bundles arising from the quantum general linear supergoup are studied. The space of holomorphic sections is promoted to a left exact covariant functor from a category of modules over a quantum parabolic sub-supergroup to the category of locally finite modules of the quantum general linear supergroup. The right derived functors of this functor provides a form of Dolbeault cohomology for quantum homogeneous supervector bundles. We explicitly compute the cohomology groups, which are given in terms of well understood modules over the quantized universal enveloping algebra of the general linear superalgebra.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0311097
dc.identifierhttp://arxiv.org/abs/math/0311097
dc.identifierJ. Pure Appl. Algebra 191 (2004), no. 3, 285--314.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69108
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37, 20G42, 17B10
dc.titleQuantum superalgebra representations on cohomology groups of non-commutative bundles
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