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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 329–333 (Mi smj1961)  
This article is cited in 2 scientific papers (total in 2 papers)

The hypercentral structure of the group of unitriangular automorphisms of a free metabelian Lie algebra

A. N. Kabanov

Omsk State University, Omsk
Full-text PDF (267 kB) Citations (2)
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Abstract: We describe the hypercentral structure of the group of unitriangular automorphisms of a free metabelian Lie algebra over an arbitrary field. Using it, we prove that this group admits no faithful representation by matrices over a field provided that the algebra rank is at least four.
Keywords: metabelian Lie algebra, unitriangular automorphism, hypercenter, linearity.
Received: 27.08.2007
Revised: 16.09.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 2, Pages 261–264
DOI: https://doi.org/10.1007/s11202-009-0030-7
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: A. N. Kabanov, “The hypercentral structure of the group of unitriangular automorphisms of a free metabelian Lie algebra”, Sibirsk. Mat. Zh., 50:2 (2009), 329–333; Siberian Math. J., 50:2 (2009), 261–264
Citation in format AMSBIB
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\pages 329--333
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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