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// Sibirskii Matematicheskii Zhurnal
// Archive
Sibirsk. Mat. Zh.,
2011
Volume 52,
Number 3,
Pages
690–701
(Mi smj2230)
This article is cited in
2
papers
Periodic automorphisms of the free Lie algebra of rank 3
M. A. Shevelin
Omsk State University, Omsk
Abstract:
We prove that each automorphism of finite order of the free Lie algebra of rank 3 over an algebraically closed field is conjugate to a linear automorphism if the field characteristic fails to divide the automorphism order.
Keywords:
free Lie algebra, automorphism group.
UDC:
517.55
Received:
15.06.2010
Revised:
03.12.2010
Fulltext:
PDF file (308 kB)
References
Cited by
English version:
Siberian Mathematical Journal, 2011,
52
:3,
544–553
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024