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Abstract The structure group G X of a non-degenerate involutive set-theoretic solution X to the Yang-Baxter equation was introduced by Etingof et al. (1999), [31] . We prove that G… Click to show full abstract
Abstract The structure group G X of a non-degenerate involutive set-theoretic solution X to the Yang-Baxter equation was introduced by Etingof et al. (1999), [31] . We prove that G X coincides with the structure group of an L-algebra, a quantum structure that arises, e.g., in the context of Artin groups and operator algebras. The connection unifies the concept of structure group and exhibits new operations associated to set-theoretic solutions X.
Keywords:
solution yang;
theoretic solution;
structure group;
set theoretic;
structure
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020
Link to full text (if available)
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recommendations!