【摘要】 本文给出了确定量子代数SL_q(3)的不可约表示和Wigner系数的方法。文中引入满足Serre类关系的两辅助元素,指出它们以及另两个元素是SL_q(2)的1/2阶张量算符,它们的约化矩阵元可由一组"递推公式"算出。从这些公式也可导出SL_q(3)的同位旋标量因子的递推公式。这也意味着对于SL_q(3),Racah因子分解定理也适用。更多还原

【Abstract】 In this paper, the irreducible representations and Wigner coefficients of SL_q(3) have been obtained. The generators of SL_q(3) satisfying the serre relations are considered as 1/2 rank tensor——like of SL_q(2). Their reduced matrix elements can be calculated by a set of recurrent formula. The isoscalar factors (ISF) of SL_q(3) can also be derived by them. This means that the Racah Factorization Lemma is also exact for the quantum algebra SL_q(3).更多还原