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Applications of the category of linear complexes of tilting modules associated with the category O

Volodymyr Mazorchuk
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Abstract

We use the category of linear complexes of tilting modules for the BGG category O, associated with a semi-simple complex finite-dimensional Lie algebra g, to reprove in purely algebraic way several known results about O obtained earlier by different authors using geometric methods. We also obtain several new results about the parabolic category O.

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BibTeXRIS

Volodymyr Mazorchuk. 2005-01-14. Applications of the category of linear complexes of tilting modules associated with the category O. https://arxiv.org/abs/math/0501220

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