Geodesic
On the tensor product of representations of semisimple Lie groups
Matematičeskie zametki, Tome 16 (1974) no. 5, pp. 731-739 
A. U. Klimyk. On the tensor product of representations of semisimple Lie groups. Matematičeskie zametki, Tome 16 (1974) no. 5, pp. 731-739. http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a6/
@article{MZM_1974_16_5_a6,
     author = {A. U. Klimyk},
     title = {On the tensor product of representations of semisimple {Lie} groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {731--739},
     year = {1974},
     volume = {16},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a6/}
}
TY  - JOUR
AU  - A. U. Klimyk
TI  - On the tensor product of representations of semisimple Lie groups
JO  - Matematičeskie zametki
PY  - 1974
SP  - 731
EP  - 739
VL  - 16
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a6/
LA  - ru
ID  - MZM_1974_16_5_a6
ER  - 
%0 Journal Article
%A A. U. Klimyk
%T On the tensor product of representations of semisimple Lie groups
%J Matematičeskie zametki
%D 1974
%P 731-739
%V 16
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_5_a6/
%G ru
%F MZM_1974_16_5_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of the decomposition of the tensor product of finite and infinite representations of a complex semigroup of a Lie group is examined by using the theory of characters of completely irreducible representations. A theorem is proved which indicates that completely irreducible representations enter into the expansion of the tensor product of a finite and elementary representation.