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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