Representation functions for Jordanian quantum group SLh(2) and Jacobi polynomials
Representation functions for Jordanian quantum group SLh(2) and Jacobi polynomials
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约旦量子群 SLh(2) 和雅可比多项式的表示函数
DOI：
10.1088/0305-4470/33/20/302
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
N. Aizawa
中科院分区：
文献类型：
--
作者：
N. Aizawa
结合张量算符技术和Drinfeld扭曲，得到了约旦量子群SLH(2)的表象函数(D-函数)的显式表达式。结果表明，与未变形的D-函数一样，D-函数可以用雅可比多项式来表示。给出了SLH(2)的D-函数的一些重要性质，如Wigner乘积定律、递推关系和RTT型关系。
The explicit expressions of the representation functions (D-functions) for Jordanian quantum group SLh(2) are obtained by combination of tensor operator technique and Drinfeld twist. It is shown that the D-functions can be expressed in terms of Jacobi polynomials as the undeformed D-functions can. Some of the important properties of the D-functions for SLh(2) such as Wigner's product law, recurrence relations and RTT-type relations are also presented.