The Strongly Symmetric Elements and Solutions of Yang-Baxter Equation
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