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arXiv · 1009.3342

Folding of set-theoretical solutions of the Yang-Baxter equation

Fabienne Chouraqui·Eddy Godelle
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Abstract

We establish a correspondence between the invariant subsets of a non-degenerate symmetric set-theoretical solution of the quantum Yang-Baxter equation and the parabolic subgroups of its structure group, equipped with its canonical Garside structure. Moreover, we introduce the notion of a foldable solution, which extends the one of a decomposable solution.

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Fabienne Chouraqui, Eddy Godelle. 2010-09-17. Folding of set-theoretical solutions of the Yang-Baxter equation. https://arxiv.org/abs/1009.3342

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