Abstract
Using the indefinite metric, the author studies the coupling of three irreps of the OSP(1, 2) algebra, and gives the general definition, orthogonality conditions, symmetry properties and calculating formulae of the Racah coefficients of the OSP(1, 2) algebra. Eight kinds of Racah coefficients exist for the OSP(1, 2) algebra and they are all expressed in terms of the Racah coefficients of the SO(3) algebra.
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