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We study the tensor category of tilting modules over a quantum groupUq with divided powers.
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We introduce a category of representations that we call generalized complexes and classify spherical generalized complexes.
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The Combinatorics of Category O over symmetrizable Kac-Moody Algebras
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We show that the structure of a block outside the critical hyperplanes of category O over a symmetrizable Kac-Moody algebra depends only on the corresponding integral Weyl group and its action on the parameters of the Verma modules.
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We show that ${\mathcal M}(G,R)$ is a symmetric tensor category, i.e., the motive of the product of two projective homogeneous G-varieties is a direct sum of twisted motives of projective homogeneous G-varieties.
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