This article is cited in 4 papers

Lie and Engel theorems for $n$-tuple Lie algebras

N. A. Koreshkov

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We prove some analogs of the Lie and Engel theorems for $n$-tuple Lie algebras. Furthermore, we establish existence of Cartan subalgebras in the $n$-tuple Lie algebras.

Keywords: $n$-tuple Lie algebra.

UDC: 512.554

Received: 12.04.2012
Revised: 21.01.2013

 English version: Siberian Mathematical Journal, 2013, 54:3, 472–478

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