Decomposition theorems for involutive solutions to the Yang-Baxter equation

S. Ramírez; L. Vendramin

doi:10.1093/imrn/rnab232

Decomposition theorems for involutive solutions to the Yang-Baxter equation

S. Ramírez, L. Vendramin

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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.

Originele taal-2	English
Pagina's (van-tot)	18078-18091
Aantal pagina's	14
Tijdschrift	International Mathematics Research Notices
Volume	2022
Nummer van het tijdschrift	22
DOI's	https://doi.org/10.1093/imrn/rnab232
Status	Published - nov. 2022

Bibliografische nota

10 pages. Accepted for publication in Int. Math. Res. Not. IMRN

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10.1093/imrn/rnab232

2101.04239v2

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AU - Vendramin, L.

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Decomposition theorems for involutive solutions to the Yang-Baxter equation

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