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arXiv · 0912.4827

Garside groups and Yang-Baxter equation

Fabienne Chouraqui
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Abstract

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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Fabienne Chouraqui. 2009-12-24. Garside groups and Yang-Baxter equation. https://doi.org/10.1080/00927870903386502

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