A diagrammatic approach to categorification of quantum groups I

Details A diagrammatic approach to categorification of quantum groups I A diagrammatic approach to categorification of quantum groups I

2008-03-28

arxiv.org/abs/0803.4121v2

Represent. Theory 13 (2009), 309-347.

Mathematics

Quantum Algebra

53 pages, 24 eps files, v2 corrects several misprints

Scientific paper

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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