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arxiv: 0902.4700 · v2 · pith:X2C5BFPNnew · submitted 2009-02-26 · 🧮 math.RT · math.QA

Diagrammatics for Soergel categories

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keywords groupcategorylocalsoergelweylalgebrabimodulescategories
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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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