Geodesic
Tensor operators of the Lie algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 3, pp. 474-479 
S. V. Lyudkovskii. Tensor operators of the Lie algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 3, pp. 474-479. http://geodesic.mathdoc.fr/item/TMF_1990_82_3_a13/
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     author = {S. V. Lyudkovskii},
     title = {Tensor operators of~the {Lie} algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_3_a13/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Computationally simple expressions are obtained for the matrix elements of the tensor operators of the Lie algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$ in bases of irreducible representations. They are obtained in the form of Bell polynomials of sums of powers of the hook lengths $p_{ij}$. Recursion relations and generating functions are also found. An example of the use of the obtained expressions in nuclear physics is given.

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