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

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. 
@article{TMF_1990_82_3_a13,
     author = {S. V. Lyudkovskii},
     title = {Tensor operators of~the {Lie} algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {474--479},
     publisher = {mathdoc},
     volume = {82},
     number = {3},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_3_a13/}
}
TY  - JOUR
AU  - S. V. Lyudkovskii
TI  - Tensor operators of~the Lie algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1990
SP  - 474
EP  - 479
VL  - 82
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1990_82_3_a13/
LA  - ru
ID  - TMF_1990_82_3_a13
ER  - 
%0 Journal Article
%A S. V. Lyudkovskii
%T Tensor operators of~the Lie algebras $\mathfrak u(m)$ and $\mathfrak o(\nu)$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1990
%P 474-479
%V 82
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1990_82_3_a13/
%G ru
%F TMF_1990_82_3_a13
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/