Garside groups and Yang-Baxter equation

Details Garside groups and Yang-Baxter equation Garside groups and Yang-Baxter equation

2009-12-24

arxiv.org/abs/0912.4827v3

Communications in Algebra, Volume 38 n.12 (December2010)

Mathematics

Group Theory

This is the last version of the paper, as it appears in Communications in Algebra, Volume 38 Issue 12, December 2010

Scientific paper

10.1080/00927870903386502

We establish a one-to-one correspondence between a class of Garside groups
admitting a certain presentation and the structure groups of non-degenerate,
involutive and braided set-theoretical solutions of the quantum Yang-Baxter
equation. We also characterize indecomposable solutions in terms of
$\Delta$-pure Garside groups.

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