A diagrammatic approach to categorification of quantum groups I

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.

53 pages, 24 eps files, v2 corrects several misprints

References in corpus (4)

• A diagrammatic approach to categorification of quantum groups III
• Category O and sl(k) link invariants
• Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties
• Categorification of integrable representations of quantum groups

Cited by in corpus (280)

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• A Prehistory of n-Categorical Physics
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• Not even Khovanov homology
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