A combinatorial approach to noninvolutive set-theoretic solutions of the Yang-Baxter equation

DOI10.5565/PUBLMAT6522111zbMath1491.16035arXiv1808.03938OpenAlexW3176732141MaRDI QIDQ2232023

Tatiana Gateva-Ivanova

Publication date: 1 October 2021

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03938

zbMATH Keywords

quadratic algebrasYang-Baxterbraided setsquadratic sets

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Ordinary and skew polynomial rings and semigroup rings (16S36) Yang-Baxter equations (16T25)

Related Items

Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation ⋮ Abelian maps, brace blocks, and solutions to the Yang-Baxter equation ⋮ Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation ⋮ Quasi-bialgebras from set-theoretic type solutions of the Yang-Baxter equation ⋮ Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses ⋮ From braces to Hecke algebras and quantum groups ⋮ Segre products and Segre morphisms in a class of Yang-Baxter algebras

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