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arxiv: 0711.2069 · v1 · submitted 2007-11-13 · 🧮 math.QA · math.RA

New constructions of Yang-Baxter systems

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keywords yang-baxtersystemsalgebraconstantconstructionstypeadmitsassociated
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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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