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Categorification of Integrable Representations of Quantum Groups

作者:Hao; ZHENG量子群几何结构张量积副产品可积权重

摘要:We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac–Moody algebra. As a byproduct, we obtain a geometric realization of Lusztig's canonical bases of these representations as well as a new positivity result. The main ingredient in the underlying geometric construction is a class of micro-local perverse sheaves on quiver varieties.

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