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arXiv · 0811.4064

"Set-theoretical" solutions of the quantum Yang-Baxter equation and a class of Garside groups

Fabienne Chouraqui
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Abstract

We establish a one-to-one correspondence between structure groups of non-degenerate, involutive and braided "set-theoretical" solutions of the quantum Yang-Baxter equation and Garside groups with a certain presentation. Moreover, we show that the solution is indecomposable if and only if its structure group is a $\Delta-$pure Garside group.

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Fabienne Chouraqui. 2008-11-25. "Set-theoretical" solutions of the quantum Yang-Baxter equation and a class of Garside groups. https://arxiv.org/abs/0811.4064

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