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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| Item Type: | Article |
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| Item Status: | Live Archive |
Abstract
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 |
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| 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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