Abstract

The structure of the finite-dimensional representations of the quantum superalgebra Uq(osp(1‖2)) is considered and the projection operator for this quantum superalgebra is derived. Application of the projection operator permits one to obtain an explicit analytical formula for the q analog of the Clebsch–Gordan coefficients. Pseudo-orthogonality relations and some other properties of Clebsch–Gordan coefficients are given.

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