| SOLVING COLORED YANG-BAXTER EQUATION BY WU＇S METHOD |
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| 引用本文： | 任新安,王世坤,吴可. SOLVING COLORED YANG-BAXTER EQUATION BY WU＇S METHOD[J]. 数学物理学报(B辑英文版), 2009, 29(5): 1267-1294. DOI: 10.1016/S0252-9602(09)60103-X |
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| 作者姓名： | 任新安 王世坤 吴可 |
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| 作者单位： | Ren Xin'an(Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, China;Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China);Wang Shikun(Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China;KLMM, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China);WU Ke(Department of Mathematics, Capital Normal University, Beijing 100048, China) |
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| 基金项目： | The project partially supported by NKBRPC （2004CB31800, 2006CB805905） and Knowledge Innovation Funds of CAS （KJCX3-SYW-S03） |
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| 摘 要： | 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, al l solutions can be classified into two categories called Baxter type and free-fermion type.
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| 关 键 词： | 吴方法 方程 彩棉 求解 色参数 对称解 体组成 基本解 |
| 收稿时间： | 2007-03-30 |
SOLVING COLORED YANG-BAXTER EQUATION BY WU'S METHOD |
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| Ren Xin''an,Wang Shikun,WU Ke. SOLVING COLORED YANG-BAXTER EQUATION BY WU'S METHOD[J]. Acta Mathematica Scientia, 2009, 29(5): 1267-1294. DOI: 10.1016/S0252-9602(09)60103-X |
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| Authors: | Ren Xin''an Wang Shikun WU Ke |
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| Affiliation: | aDepartment of Mathematics, China University of Mining and Technology, Xuzhou 221116, China;bInstitute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China;cKLMM, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China;dDepartment of Mathematics, Capital Normal University, Beijing 100048, China |
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| Abstract: | 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. |
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| Keywords: | Yang-Baxter equation solution of the colored Yang-Baxter equation Wu's method2000 MR Subject Classification: 17B65 81R12 81R50 82B23 |
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