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