Abstract

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.

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