osp_q（1）最低权表示的融合规则|2）在统一的根源：多项式实现和退化的根源统一
Fusion Rules of the Lowest Weight Representations of osp_q(1|2) at Roots of Unity: Polynomial Realization and Degeneration at Roots of Unity
摘要：
研究了当形变参数$q$取异常值时，量子超代数$osp_q(1|2)$的最低权表示及其张量积在异常值%处的简并性.利用群生成元作为有限差分算子在多项式空间中的作用，说明了有限维最低权表示的结构及其融合规则的主要特征.给出了张量积单位根分解的完全融合规则。外观的不可分解的表示在融合使用Clebsh-Gordan系数导出的一般值的$q$和在根的单位。
英文摘要：
The degeneracy of the lowest weight representations of the quantum superalgebra $osp_q(1|2)$ and their tensor products at exceptional values of %when deformation parameter $q$ takes exceptional values is studied. The main features of the structures of the finite dimensional lowest weight representations and their fusion rules are illustrated using realization of group generators as finite-difference operators acting in the space of the polynomials. The complete fusion rules for the decompositions of the tensor products at roots of unity are presented. The appearance of indecomposable representations in the fusions is described using Clebsh-Gordan coefficients derived for general values of $q$ and at roots of unity.
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