Properties of Clebsch-Gordan coefficients and 3-j symbols for the quantum superalgebra Uq(osp(1 mod 2))
Properties of Clebsch-Gordan coefficients and 3-j symbols for the quantum superalgebra Uq(osp(1 mod 2))
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量子超代数 Uq(osp(1 mod 2)) 的 Clebsch-Gordan 系数和 3-j 符号的性质
DOI：
10.1088/0305-4470/28/3/020
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
M. Mozrzymas
中科院分区：
文献类型：
--
作者：
P. Minnaert;M. Mozrzymas
本文是对量子超代数Uq（osp（1 mod 2））的级星表示结构的研究的继续。一般情况下的张量积的两个等级星表示的代表空间中的任意（不一定正定）厄米形式的作用被认为是。在这种一般情况下，Clebsch-Gordan系数的显式解析公式推导使用投影算子方法。伪正交关系，并讨论了对称性，包括Regge对称性。定义了超3-j符号的量子类似物，并分析了它们的对称性。
This paper is a continuation of the study begun in an earlier paper of the structure of grade-star representations of the quantum superalgebra Uq(osp(1 mod 2)). The general case of the tensor product of two grade-star representations acting in representation spaces with arbitrary (not necessarily positive definite) Hermitian forms is considered. An explicit analytical formula for Clebsch-Gordan coefficients for this general case is derived using the projection operator method. Pseudo-orthogonality relations are given and symmetry properties, including Regge symmetry, are discussed. The quantum analogues of super 3-j symbols are defined and their symmetry properties are analysed.