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

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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. 
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     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},
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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/