A diagrammatic approach to categorification of quantum groups I

Aaron D. Lauda; Mikhail Khovanov

A diagrammatic approach to categorification of quantum groups I

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arxiv 0803.4121 v2 pith:GV4K7GZV submitted 2008-03-28 math.QA math.RT

Mikhail Khovanov , Aaron D. Lauda This is my paper · ORCID

classification math.QAmath.RT

keywords graphmathfrakringsalgebraapproachassignassociatedcategories

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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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