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Scheve tralies en verzameling theoretische oplossingen van de Yang-Baxter vergelijking

Tijdschriftbijdrage - Tijdschriftartikel

In this paper we discuss and characterize several set-theoretic solutions of the Yang-Baxter equation obtained using skew lattices, an algebraic structure that has not yet been related to the Yang-Baxter equation. Such solutions are degenerate in general, and thus different from solutions obtained from braces and other algebraic structures. Our main result concerns a description of a set-theoretic solution of the Yang-Baxter equation, obtained from an arbitrary skew lattice. We also provide a construction of a cancellative and distributive skew lattice on a given family of pairwise disjoint sets.

Tijdschrift: Journal of Algebra
ISSN: 0021-8693
Volume: 542
Pagina's: 65-92
Jaar van publicatie:2020
CSS-citation score:3
Toegankelijkheid:Closed