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arXiv · 2101.04239

Decomposition theorems for involutive solutions to the Yang-Baxter equation

S. Ramírez·L. Vendramin
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Abstract

Motivated by the proof of Rump of a conjecture of Gateva-Ivanova on the decomposability of square-free solutions to the Yang-Baxter equation, we present several other decomposability theorems based on the cycle structure of a certain permutation associated with the solution.

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BibTeXRIS

S. Ramírez, L. Vendramin. 2021-08-03. Decomposition theorems for involutive solutions to the Yang-Baxter equation. https://doi.org/10.1093/imrn%2Frnab232

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