q变型微分算符超代数和Yang-Baxter方程的解(英文)  

q-Deformed Differential Operator Superalgebra and Solutions of Yang-Baxter Equation

作　　者：王竑[1] 王赵[1] 

机构地区：[1]海南大学理工学院

出　　处：《海南大学学报（自然科学版）》2003年第4期312-318,共7页Natural Science Journal of Hainan University

基　　金：ThisworkissupportedinpartbytheNaturalScienceFoundationofHainanProvince .

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.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.

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 

分 类 号：O152.5[理学—数学]