Decomposition Theorems for Involutive Solutions to the Yang–Baxter Equation

DOI10.1093/IMRN/RNAB232OpenAlexW3196151811WikidataQ113819057 ScholiaQ113819057MaRDI QIDQ5058539

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Publication date: 21 December 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04239

zbMATH Keywords

Yang-Baxter equationdecomposable solutionset-theoretical involutive solution

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Yang-Baxter equations (16T25)

Related Items (6)

Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation ⋮ Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation ⋮ Indecomposable solutions of the Yang-Baxter equation of square-free cardinality ⋮ Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes pq and p ² q ⋮ (In)decomposability of finite solutions of the Yang-Baxter equation ⋮ Involutive Yang-Baxter: cabling, decomposability, and Dehornoy class

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