The direct limits of Lie algebras of the type $A$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 425-434
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.
@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/}
}
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/