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Applications of the Category of Linear Complexes of Tilting Modules Associated with the Category

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Abstract

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

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  1. Department of Mathematics, Uppsala University, Box 480, 751 06, Uppsala, Sweden

    Volodymyr Mazorchuk

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  1. Volodymyr Mazorchuk
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Mazorchuk, V. Applications of the Category of Linear Complexes of Tilting Modules Associated with the Category . Algebr Represent Theor 12, 489–512 (2009). https://doi.org/10.1007/s10468-008-9108-3

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