New constructions of Yang-Baxter systems

Details New constructions of Yang-Baxter systems New constructions of Yang-Baxter systems

2007-11-13

arxiv.org/abs/0711.2069v1

AMS Contemporary Math. 442 (2007) 193-200

Mathematics

Quantum Algebra

8 pages, LaTeX

Scientific paper

The quantum Yang-Baxter equation admits generalisations to systems of Yang-Baxter type equations called Yang-Baxter systems. Starting from algebra structures, we propose new constructions of some constant as well as the spectral-parameter dependent Yang-Baxter systems. Besides, we also present explicitly the commutation algebra structure associated to the constant type in dimension two.

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