Projective-injective modules, Serre functors and symmetric algebras

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dc.creatorMazorchuk, Volodymyr
dc.creatorStroppel, Catharina
dc.date2005-08-06
dc.date2005-09-06
dc.date.accessioned2026-07-07T08:07:07Z
dc.date.available2026-07-07T08:07:07Z
dc.descriptionWe describe Serre functors for (generalisations of) the category O associated with a semi-simple complex Lie algebra. In our approach, projective-injective modules play an important role. They control the Serre functor in the case of a quasi-hereditary algebra having a double centraliser property with respect to a symmetric algebra. As an application of the double centraliser property and our description of Serre functors, we prove three conjectures of Khovanov about the projective-injective modules in the parabolic category O for sl_n.
dc.identifierhttps://arxiv.org/abs/math/0508119
dc.identifierhttp://arxiv.org/abs/math/0508119
dc.identifierJournal f. d. Reine und Angewandte Mathematik 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130836
dc.subjectRepresentation Theory
dc.subject16G10, 17B20, 18E30, 16E20, 18F25
dc.titleProjective-injective modules, Serre functors and symmetric algebras
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