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The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation

Quantum Algebra 2009-11-10 v1 Rings and Algebras

Abstract

It is shown that all strongly symmetric elements are solutions of constant classical Yang-Baxter equation in Lie algebra, or of quantum Yang-Baxter equation in algebra. Otherwise, all solutions of constant classical Yang-Baxter equation (CYBE) in Lie algebra LL with dim L3L \le 3 over field kk of characteristic 2 are obtained

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Cite

@article{arxiv.math/0311518,
  title  = {The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation},
  author = {Shouchuan Zhang},
  journal= {arXiv preprint arXiv:math/0311518},
  year   = {2009}
}

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15pages