FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 2, PAGES 425-434

The direct limits of Lie algebras of the type $A$

D. V. Zhdanovich
I. A. Yanson

Abstract

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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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