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Decomposition theorems for involutive solutions to the Yang-Baxter equation
- Source :
- Int. Math. Res. Not. IMRN 2022, no. 22, 18078-18091
- Publication Year :
- 2021
-
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.<br />Comment: 10 pages. Accepted for publication in Int. Math. Res. Not. IMRN
Details
- Database :
- arXiv
- Journal :
- Int. Math. Res. Not. IMRN 2022, no. 22, 18078-18091
- Publication Type :
- Report
- Accession number :
- edsarx.2101.04239
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1093/imrn/rnab232