ar X iv : 0 90 2 . 17 95 v 2 [ m at h . A G ] 1 9 N ov 2 00 9 CATEGORICAL GEOMETRIC SKEW HOWE DUALITY
نویسنده
چکیده
We categorify the R-matrix isomorphism between tensor products of minuscule representations of Uq(sln) by constructing an equivalence between the derived categories of coherent sheaves on the corresponding convolution products in the affine Grassmannian. The main step in the construction is a categorification of representations of Uq(sl2) which are related to representations of Uq(sln) by quantum skew Howe duality. The resulting equivalence is part of the program of algebro-geometric categorification of Reshitikhin-Turaev tangle invariants developed by the first two authors.
منابع مشابه
ar X iv : 0 90 2 . 17 95 v 1 [ m at h . A G ] 1 1 Fe b 20 09 CATEGORICAL GEOMETRIC SKEW HOWE DUALITY
We categorify the R-matrix isomorphism between tensor products of minuscule representations of Uq(sln) by constructing an equivalence between the derived categories of coherent sheaves on the corresponding convolution products in the affine Grassmannian. The main step in the construction is a categorification of representations of Uq(sl2) which are related to representations of Uq(sln) by quant...
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تاریخ انتشار 2009