Abstract
We extend a result of Ramirez and Vendramin on the decomposability of a finite non-degenerate involutive solution of the Yang-Baxter equation. We exhibit examples showing that the conditions for (in)decomposability in our obtained results are not necessary. Furthermore, we answer a question of Ramirez and Vendramin affirmatively in case the permutation group is nilpotent.
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Acknowledgements
The author is grateful to the anonymous reviewer for the helpful comments. This has certainly helped to improve the exposition of the article. The author is thankful to Prof. Manoj Kumar Yadav for the valuable discussions.
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Kanrar, A. (In)decomposability of finite solutions of the Yang-Baxter equation. Arch. Math. 122, 155–161 (2024). https://doi.org/10.1007/s00013-023-01930-6
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DOI: https://doi.org/10.1007/s00013-023-01930-6