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

D. V. Zhdanovich, I. A. Yanson

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 512.554.32

Received: 01.06.1995

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