A combinatorial approach to noninvolutive set-theoretic solutions of the Yang-Baxter equation
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Publication:2232023
DOI10.5565/PUBLMAT6522111zbMath1491.16035arXiv1808.03938OpenAlexW3176732141MaRDI QIDQ2232023
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
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)
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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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