Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 425-434
Citer cet article
D. V. Zhdanovich; I. A. Yanson. The direct limits of Lie algebras of the type $A$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 425-434. http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a5/
@article{FPM_1997_3_2_a5,
author = {D. V. Zhdanovich and I. A. Yanson},
title = {The direct limits of {Lie} algebras of the type~$A$},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {425--434},
year = {1997},
volume = {3},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a5/}
}
TY - JOUR
AU - D. V. Zhdanovich
AU - I. A. Yanson
TI - The direct limits of Lie algebras of the type $A$
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1997
SP - 425
EP - 434
VL - 3
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a5/
LA - ru
ID - FPM_1997_3_2_a5
ER -
%0 Journal Article
%A D. V. Zhdanovich
%A I. A. Yanson
%T The direct limits of Lie algebras of the type $A$
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1997
%P 425-434
%V 3
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a5/
%G ru
%F FPM_1997_3_2_a5
The present paper is devoted to the investigation of some concrete classes of sets of direct limits of simple Lie algebras of the type $A$. We consider two cases. In the first case we give a complete classification of non-isomorphic direct limits. In the second one we obtain a partial description.
