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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 3, Pages 601–609 (Mi smj2445)  
This article is cited in 4 scientific papers (total 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
Full-text PDF (300 kB) Citations (4)
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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.
Received: 12.04.2012
Revised: 21.01.2013
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 3, Pages 472–478
DOI: https://doi.org/10.1134/S0037446613030129
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: N. A. Koreshkov, “Lie and Engel theorems for $n$-tuple Lie algebras”, Sibirsk. Mat. Zh., 54:3 (2013), 601–609; Siberian Math. J., 54:3 (2013), 472–478
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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