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arxiv: math/0311518 · v1 · submitted 2003-11-28 · 🧮 math.QA · math.RA

The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation

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keywords equationyang-baxteralgebrasolutionsclassicalconstantelementsstrongly
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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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