The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation

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