Geodesic
Classification of extremally irreducible and normally irreducible representations of semisimple complex connected Lie groups
Izvestiya. Mathematics , Tome 5 (1971) no. 3, pp. 589-613

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

A new concept of “extremal irreducibility” for representations of Lie groups in separable locally convex spaces is introduced. All extremally irreducible representations of semisimple complex Lie groups are classified to within equivalence, i.e. to within topological isomorphism rearranging representation operators. Analogous results are obtained for other variants of axiomatics (normal irreducibility, Gel'fand irreducibility, complete irreducibility). 
@article{IM2_1971_5_3_a5,
     author = {D. P. Zhelobenko},
     title = {Classification of extremally irreducible and normally irreducible representations of semisimple complex connected {Lie} groups},
     journal = {Izvestiya. Mathematics },
     pages = {589--613},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a5/}
}
TY  - JOUR
AU  - D. P. Zhelobenko
TI  - Classification of extremally irreducible and normally irreducible representations of semisimple complex connected Lie groups
JO  - Izvestiya. Mathematics 
PY  - 1971
SP  - 589
EP  - 613
VL  - 5
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a5/
LA  - en
ID  - IM2_1971_5_3_a5
ER  - 
%0 Journal Article
%A D. P. Zhelobenko
%T Classification of extremally irreducible and normally irreducible representations of semisimple complex connected Lie groups
%J Izvestiya. Mathematics 
%D 1971
%P 589-613
%V 5
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a5/
%G en
%F IM2_1971_5_3_a5
D. P. Zhelobenko. Classification of extremally irreducible and normally irreducible representations of semisimple complex connected Lie groups. Izvestiya. Mathematics , Tome 5 (1971) no. 3, pp. 589-613. http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a5/