Geometric realizations of Lusztig's symmetries
classification
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geometriclusztigrealizationssymmetriesgiveprojectiveresolutionscategorification
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In this paper, we give geometric realizations of Lusztig's symmetries. We also give projective resolutions of a kind of standard modules. By using the geometric realizations and the projective resolutions, we obtain the categorification of the formulas of Lusztig's symmetries.
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