Skew left braces and 2-reductive solutions of the Yang-Baxter equation. (English) Zbl 07784724
The paper discusses the properties of certain involutive set-theoretic solutions to the Yang-Baxter equation. According to the authors, these solutions are the “least complicated” involutive solutions. Nevertheless, they appear in different contexts and admit a robust algebraic theory. This paper explores these connections and phenomena.
Reviewer: Leandro Vendramin (Brussel)
MSC:
| 16T25 | Yang-Baxter equations |
| 20B25 | Finite automorphism groups of algebraic, geometric, or combinatorial structures |
Keywords:
Yang-Baxter equation; multipermutation solution; nilpotency; skew left brace; left distributivity; bi-skew left braceReferences:
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