On non-abelian quadrirational Yang–Baxter maps

Kassotakis, Pavlos and Kouloukas, Theodoros (2022) On non-abelian quadrirational Yang–Baxter maps. Journal of Physics A: Mathematical and Theoretical, 55 (175203). ISSN 1751-8113

Full content URL: https://doi.org/10.1088/1751-8121/ac5afd

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On non-abelian quadrirational Yang–Baxter maps
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We introduce four non-equivalent lists of families of non-abelian quadrirational Yang–Baxter maps, the so-called F, H, K and Λ lists. We provide the canonical form of the generic map in each list, which under various degenerations lead to the remaining members of each list. In the abelian setting all four lists constitute the well known F and H lists of quadrirational Yang–Baxter maps.

Keywords:Discrete integrable systems, Yang-Baxter maps
Subjects:G Mathematical and Computer Sciences > G100 Mathematics
F Physical Sciences > F340 Mathematical & Theoretical Physics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:49248
Deposited On:13 May 2022 10:48

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