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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 5, Pages 1184–1188 (Mi smj1128)  
This article is cited in 9 scientific papers (total in 9 papers)

Nonlinearity of the automorphism groups of some free algebras

V. A. Roman'kov, I. V. Chirkov, M. A. Shevelin

Omsk State University
Full-text PDF (162 kB) Citations (9)
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Abstract: We prove that the groups of tame automorphisms of a free Lie algebra (free associative algebra, absolutely free algebra, algebra of polynomials) of rank at least four over a field of characteristic zero admit no faithful representation by matrices over any field.
Keywords: free algebra, automorphism group, linearity.
Received: 14.11.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 5, Pages 974–977
DOI: https://doi.org/10.1023/B:SIMJ.0000042485.54804.4f
Bibliographic databases:
UDC: 512.54, 512.55
Language: Russian
Citation: V. A. Roman'kov, I. V. Chirkov, M. A. Shevelin, “Nonlinearity of the automorphism groups of some free algebras”, Sibirsk. Mat. Zh., 45:5 (2004), 1184–1188; Siberian Math. J., 45:5 (2004), 974–977
Citation in format AMSBIB
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\paper Nonlinearity of the automorphism groups of some free algebras
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\issue 5
\pages 1184--1188
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\transl
\jour Siberian Math. J.
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\vol 45
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\pages 974--977
\crossref{https://doi.org/10.1023/B:SIMJ.0000042485.54804.4f}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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