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arXiv · 1405.4928

Diagrammatics for Coxeter groups and their braid groups

Ben Elias·Geordie Williamson
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Abstract

We give a monoidal presentation of Coxeter and braid 2-groups, in terms of decorated planar graphs. This presentation extends the Coxeter presentation. We deduce a simple criterion for a Coxeter group or braid group to act on a category.

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Ben Elias, Geordie Williamson. 2014-05-20. Diagrammatics for Coxeter groups and their braid groups. https://arxiv.org/abs/1405.4928

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