Diagrammatics for Coxeter groups and their braid groups

2014/05/20 by Elias, Ben, Williamson, Geordie
#FOS: Mathematics #Geometric Topology (math.GT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1405.4928

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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