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.
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.