Wall-Crossing functors and D-modules

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We 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.
28pp., AMSTeX, added results on Tilting modules

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Algebraic Geometry, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/147226

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9709022
 http://arxiv.org/abs/alg-geom/9709022

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arXiv