Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 4, Pages 15–20 (Mi vmumm3509)  
This article is cited in 5 scientific papers (total in 5 papers)

Mathematics

The growth of the Lie algebra generated by two generic vector fields on the line

A. A. Kirillov, M. L. Kontsevich
Full-text PDF (765 kB) Citations (5)
Abstract: The paper deals with a Lie algebra generated by two generic vector fields on a straight line. It is proved that this algebra has an intermediate growth (between a polynomial and an exponential growth). A hypothetical explicit formula is given for dimensions of homogeneous components.
Received: 07.12.1982
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: A. A. Kirillov, M. L. Kontsevich, “The growth of the Lie algebra generated by two generic vector fields on the line”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 4, 15–20
Citation in format AMSBIB
\Bibitem{KirKon83}
\by A.~A.~Kirillov, M.~L.~Kontsevich
\paper The growth of the Lie algebra generated by two generic vector fields on the line
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 4
\pages 15--20
\mathnet{http://mi.mathnet.ru/vmumm3509}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0713969}
\zmath{https://zbmath.org/?q=an:0518.17006}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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