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ISSN 1088-4165

A diagrammatic approach to categorification of quantum groups I

Author(s): Mikhail Khovanov; Aaron D. Lauda
Journal: Represent. Theory 13 (2009), 309-347.
MSC (2000): Primary 81R50, 16S99
Posted: July 28, 2009
MathSciNet review: 2525917
Retrieve article in: PDF

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Abstract: To each graph without loops and multiple edges we assign a family of rings. Categories of projective modules over these rings categorify $U^-_q(\mathfrak{g})$ , where $\mathfrak{g}$ is the Kac-Moody Lie algebra associated with the graph.

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