Diagrammatics for Soergel categories

Details Diagrammatics for Soergel categories Diagrammatics for Soergel categories

2009-02-26

arxiv.org/abs/0902.4700v1

Mathematics

Representation Theory

54 pages, 129 figures

Scientific paper

The monoidal category of Soergel bimodules can be thought of as a
categorification of the Hecke algebra of a finite Weyl group. We present this
category, when the Weyl group is the symmetric group, in the language of planar
diagrams with local generators and local defining relations.

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