Acta mathematica scientia, Series B >
SOLVING COLORED YANG-BAXTER EQUATION BY WU'S METHOD
Received date: 2007-03-30
Revised date: 2007-09-24
Online published: 2009-09-20
Supported by
The project partially supported by NKBRPC (2004CB31800, 2006CB805905) and Knowledge Innovation Funds of CAS (KJCX3-SYW-S03)
In this article, we discuss nonsymmetric solutions of the colored Yang-Baxter equation dependent on spectral as well as colored parameters and give all seven-vertex solutions by Wu's method. It is also proved that the solutions are composed of six groups of basic solutions up to five solution transformations. Moreover, all solutions can be classified into two categories called Baxter type and free-fermion type.
REN Xin-An , WANG Shi-Kun , WU Ke . SOLVING COLORED YANG-BAXTER EQUATION BY WU'S METHOD[J]. Acta mathematica scientia, Series B, 2009 , 29(5) : 1267 -1294 . DOI: 10.1016/S0252-9602(09)60103-X
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