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Categorical geometric skew Howe duality

Cautis, Sabin; Kamnitzer, Joel; Licata, Anthony

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/79110
Source: Inventiones Mathematicae
DOI: 10.1007/s00222-009-0227-1

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