Wall-Crossing functors and D-modules

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dc.creatorBeilinson, Alexander
dc.creatorGinzburg, Victor
dc.date1997-09-22
dc.date1998-12-05
dc.date.accessioned2026-07-07T08:58:11Z
dc.date.available2026-07-07T08:58:11Z
dc.descriptionWe study Translation functors and Wall-Crossing functors on infinite dimensional representations of a complex semisimple Lie algebra using D-modules. This functorial machinery is then used to prove the Endomorphism-theorem and the Structure-theorem, two important results established earlier by W. Soergel in a totally different way. Other applications to the category O of Bernstein-Gelfand-Gelfand are given, and some conjectural relationships between Koszul duality, Verdier duality and convolution functors are discussed. A geometric interpretation of tilting modules is given.
dc.description28pp., AMSTeX, added results on Tilting modules
dc.identifierhttps://arxiv.org/abs/alg-geom/9709022
dc.identifierhttp://arxiv.org/abs/alg-geom/9709022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147226
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.titleWall-Crossing functors and D-modules
dc.typetext

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