A new Garside structure for the braid groups of type (e, e, r)

作者:Corran Ruth*; Picantin Matthieu
来源:Journal of the London Mathematical Society-Second Series, 2011, 84: 689-711.
DOI:10.1112/jlms/jdr030

摘要

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.

  • 出版日期2011-12