Categorical geometric skew Howe duality
Date
2010
Authors
Cautis, Sabin
Kamnitzer, Joel
Licata, Anthony
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
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.
Description
Keywords
Citation
Collections
Source
Inventiones Mathematicae
Type
Journal article