1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;2. Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing 100048, China
Abstract:
The Yang-Baxter equation is reinvestigated in the framework of triple system. By requiring the rational R matrix of the Yang-Baxter equation satisfying the generalized Filippov condition, we derive a relation with respect to the rational R matrix. Moreover the case of the super Yang-Baxter equation is also investigated.