2001/05/31 by N. Z. Iorgov, Iorgov, N. Z.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.math/0105259
16 pages, LaTeX
arxiv created 2001/05/31 · openalex publication_date 2001/05/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.