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arXiv · 0803.4121

A diagrammatic approach to categorification of quantum groups I

Mikhail Khovanov·Aaron D. Lauda
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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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Mikhail Khovanov, Aaron D. Lauda. 2008-03-28. A diagrammatic approach to categorification of quantum groups I. https://doi.org/10.1090/s1088-4165-09-00346-x

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