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On Triple Product and Rational Solutions of Yang-Baxter Equation
Authors:ZHANG Chun-Hong  JIA Xiao-Yu  LI Min-Li  WU Ke  ZHAO Wei-Zhong
Affiliation: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.
Keywords:Yang-Baxter equation  triple product  R matrix  
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