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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 444–454 (Mi smj2649)  
This article is cited in 2 scientific papers (total in 2 papers)

Lie algebras with extremal properties

S. M. Ratseev

Ulyanovsk State University, Ulyanovsk, Russia
Full-text PDF (309 kB) Citations (2)
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Abstract: We present two series of Lie algebras with extremal properties. Each algebra of the first series generates a variety of minimal degree polynomial growth. The algebras of this series belong to the Volichenko variety which is of almost polynomial growth. Each algebra of the second series generates a variety of polynomial growth minimal with respect to the leading coefficient of the polynomial. The algebras of this series belong to the variety $\mathbf N_2\mathbf A$ of almost polynomial growth.
Keywords: Lie algebra, variety of algebras, growth of a variety.
Received: 09.06.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 2, Pages 358–366
DOI: https://doi.org/10.1134/S0037446615020159
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: S. M. Ratseev, “Lie algebras with extremal properties”, Sibirsk. Mat. Zh., 56:2 (2015), 444–454; Siberian Math. J., 56:2 (2015), 358–366
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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