The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation

Details The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation

2003-11-28

arxiv.org/abs/math/0311518v1

Physics Letters A. 261(1999)5-6, 275-283

Mathematics

Quantum Algebra

15pages

Scientific paper

10.1016/S0375-9601(99)00535-6

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 $L$ with dim $L \le 3$ over field $k$ of
characteristic 2 are obtained

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