A q-ANALOGUE OF THE WIGNER–ECKART THEOREM FOR THE NONSTANDARD
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چکیده
The tensor product of vector and arbitrary representations of the nonstandard q-deformation U ′ q(son) of the universal enveloping algebra U(son) of Lie algebra son is defined. The Clebsch– Gordan coefficients of tensor product of vector and arbitrary classical or nonclassical type representations of q-algebra U ′ q(son) are found in an explicit form. The Wigner–Eckart theorem for vector operators is proved.
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