English

New constructions of Yang-Baxter systems

Quantum Algebra 2007-11-15 v1 Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.0711.2069,
  title  = {New constructions of Yang-Baxter systems},
  author = {Florin F. Nichita and Deepak Parashar},
  journal= {arXiv preprint arXiv:0711.2069},
  year   = {2007}
}

Comments

8 pages, LaTeX

R2 v1 2026-06-21T09:43:05.442Z