JournalsqtVol. 8, No. 3pp. 413–457

Diagrammatics for Coxeter groups and their braid groups

  • Ben Elias

    University of Oregon, Eugene, USA
  • Geordie Williamson

    University of Sydney, Australia
Diagrammatics for Coxeter groups and their braid groups cover

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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.

Cite this article

Ben Elias, Geordie Williamson, Diagrammatics for Coxeter groups and their braid groups. Quantum Topol. 8 (2017), no. 3, pp. 413–457

DOI 10.4171/QT/94