Primitive representations of the $SL(3, R)$ algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 2, pp. 214-220 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Unitary irreducible representations of the $SL(3, R)$ algebra are investigated, which contain every irreducible representation of its maximal compact subalgebra $SO(3)$ not more than once.
@article{TMF_1975_23_2_a5,
     author = {V. I. Ogievetskii and E. Sokatchev},
     title = {Primitive representations of the $SL(3, R)$ algebra},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {214--220},
     year = {1975},
     volume = {23},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a5/}
}
TY  - JOUR
AU  - V. I. Ogievetskii
AU  - E. Sokatchev
TI  - Primitive representations of the $SL(3, R)$ algebra
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 214
EP  - 220
VL  - 23
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a5/
LA  - ru
ID  - TMF_1975_23_2_a5
ER  - 
%0 Journal Article
%A V. I. Ogievetskii
%A E. Sokatchev
%T Primitive representations of the $SL(3, R)$ algebra
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 214-220
%V 23
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a5/
%G ru
%F TMF_1975_23_2_a5
V. I. Ogievetskii; E. Sokatchev. Primitive representations of the $SL(3, R)$ algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 2, pp. 214-220. http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a5/

[1] J. Dothan, M. Gell-Mann, J. Ne'eman, Phys. Lett., 17 (1965), 148 | DOI | MR

[2] L. C. Biedenharn, R. J. Cusson, M. J. Han, O. L. Weaver, Phys. Lett., 42B (1972), 326 | MR

[3] V. I. Ogievetsky, Lett. Nuovo Cim., 8 (1973), 17 ; A. B. Borisov, V. I. Ogievetsky, Preprint JINR, E2-7684, Dubna, 1974 | DOI | MR

[4] I. M. Gelfand, M. I. Graev, Izv. AN SSSR, ser. matem., 17 (1953), 189 | MR | Zbl

[5] E. Vigner, Teoriya grupp i ee prilozheniya k kvantovomekhanicheskoi teorii atomnykh spektrov, IL, 1961 | MR

[6] J. Schwinger, Quantum theory of angular momentum, Akademic Press, N.-Y., 1965

[7] E. Kartan, Teoriya spinorov, IL, 1947

[8] M. A. Naimark, Lineinye predstavleniya gruppy Lorentsa, Fizmatgiz, 1958 | MR