A q-analogue of the Wigner-Eckart theorem for the nonstandard q-deformed algebra U'_q(so(n))

Details A q-analogue of the Wigner-Eckart theorem for the nonstandard q-deformed algebra U'_q(so(n)) A q-analogue of the Wigner-Eckart theorem for the nonstandard q-deformed algebra U'_q(so(n))

2001-05-31

arxiv.org/abs/math/0105259v1

Mathematics

Quantum Algebra

16 pages, LaTeX

Scientific paper

The tensor product of vector and arbitrary representations of the nonstandard q-deformation U'_q(so(n)) of the universal enveloping algebra U(so(n)) of Lie algebra so(n) is defined. The Clebsch-Gordan coefficients of tensor product of vector and arbitrary classical or nonclassical type representations of q-algebra U'_q(so(n)) are found in an explicit form. The Wigner-Eckart theorem for vector operators is proved.

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