| q变型微分算符超代数和Yang-Baxter方程的解 |
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| 引用本文： | 王竑,王赵.q变型微分算符超代数和Yang-Baxter方程的解[J].海南大学学报(自然科学版),2003,21(4):312-318. |
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| 作者姓名： | 王竑 王赵 |
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| 作者单位： | 1. 海南大学,理工学院,海南,海口,570228;上海应用技术学院,数理教学部,上海,200235
2. 海南大学,理工学院,海南,海口,570228 |
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| 基金项目： | ThisworkissupportedinpartbytheNaturalScienceFoundationofHainanProvince . |
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| 摘 要： | 通过q变型微分算符超代数与量子超平面的自恰性,得到了一个辫子群表示的新形式,进而利用Yang-Baxter化方法构造了含谱参数的Yang-Baxter方程的三角型解,并讨论了相关的顶角模型.
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| 关 键 词： | 量子群 q变型微分算符超代数 辫子群表示 Yang-Baxter方程 Yang-Baxter化 |
q-Deformed Differential Operator Superalgebra and Solutions of Yang-Baxter Equation |
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| Abstract.q-Deformed Differential Operator Superalgebra and Solutions of Yang-Baxter Equation[J].Natural Science Journal of Hainan University,2003,21(4):312-318. |
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| Authors: | Abstract |
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| Abstract: | Through the consistency between the q-deformed differential operator superalgebra and the quantum superplane,a new form of braid group representation is obtained.The trigonometric type of solutions of the spectral-dependent Yang-Baxter equation are constructed in terms of Yang-Baxterization,and a related vertex model is also discussed. |
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| Keywords: | quantum group q-deformed differential operator superalgebra braid group representation Yang-Baxter Equation Yang-Baxterization |
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