A new Garside structure for the braid groups of type (<i>e, e, r</i> )

Ruth Corran, Matthieu Picantin

Type: Article

Publication Date: 2011-09-20

Citations: 16

DOI: https://doi.org/10.1112/jlms/jdr030

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Abstract

We describe a new presentation for the complex reflection groups of type (e, e, r) and their braid groups. A diagram for this presentation is proposed. The presentation is a monoid presentation that is shown to give rise to a Garside structure. This structure has since been used in understanding periodic elements, calculating homology and determining the centre of a pure braid group. A detailed study of the combinatorics of this structure leads us to describe it as post-classical.

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Journal of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF
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