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The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation

Shouchuan Zhang

math.QAarXiv:math/0311518

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

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