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DEEP CONNECTION BETWEEN C-G COEFFICIENTS OF OSP(1,2) ALGEBRA AND THAT OF SO(3) ALGEBRA
作者姓名:曾高坚
摘    要:Using the in-definite metric, we have studied the coupling of two irreps of OSP (1, 2) algebra, and given the general definition, orthogonality conditions, recursion relations and calculating formulas of C-G coefficients of OSP (1, 2) algebra. There are eight kinds of C-G coefficients which are all expressed in terms of corresponding coefficients of SO (3) algebra. We also have given the relation between the metrics of the coupling spaces and that of the in-coupling spaces.


DEEP CONNECTION BETWEEN C-G COEFFICIENTS OF OSP(1,2) ALGEBRA AND THAT OF SO(3) ALGEBRA
Zeng Gaojian.DEEP CONNECTION BETWEEN C-G COEFFICIENTS OF OSP(1,2) ALGEBRA AND THAT OF SO(3) ALGEBRA[J].Journal of Natural Science of Hunan Normal University,1986(4).
Authors:Zeng Gaojian
Institution:Zeng Gaojian
Abstract:Using the in-definite metric, we have studied the coupling of two irreps of OSP (1, 2) algebra, and given the general definition, orthogonality conditions, recursion relations and calculating formulas of C-G coefficients of OSP (1, 2) algebra. There are eight kinds of C-G coefficients which are all expressed in terms of corresponding coefficients of SO (3) algebra. We also have given the relation between the metrics of the coupling spaces and that of the in-coupling spaces.
Keywords:Group  Algebra  Lie superalgebra
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