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Matematicheskie Zametki, 1996, Volume 59, Issue 2, Pages 164–173
DOI: https://doi.org/10.4213/mzm1703 (Mi mzm1703) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Structure of groups of nonlinear automorphisms for (3,3) quadrics

A. F. Arbatskii

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm1703
Abstract: We study the group of nonlinear automorphisms for (k,n) quadrics. We prove that this group is nilpotent and describe the multiplication law for this group in terms of the corresponding Lie algebra. For nonlinear automorphisms of (3,3) quadrics, explicit formulas are obtained.
Received: 08.12.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 2, Pages 116–122
DOI: https://doi.org/10.1007/BF02310949
Bibliographic databases:
UDC: 514.7
Language: Russian
Citation: A. F. Arbatskii, “Structure of groups of nonlinear automorphisms for (3,3) quadrics”, Mat. Zametki, 59:2 (1996), 164–173; Math. Notes, 59:2 (1996), 116–122
Citation in format AMSBIB
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\by A.~F.~Arbatskii
\paper Structure of groups of nonlinear automorphisms for $(3,3)$ quadrics
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 2
\pages 164--173
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 2
\pages 116--122
\crossref{https://doi.org/10.1007/BF02310949}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996UP82900014}
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  • https://doi.org/10.4213/mzm1703
  • https://www.mathnet.ru/eng/mzm/v59/i2/p164
    • This publication is cited in the following 2 articles:
    1. Wu Q., “On holomorphic automorphisms of a class of non-homogeneous rigid hypersurfaces in a", (N+1)”, Chinese Annals of Mathematics Series B, 31:2 (2010), 201–210  crossref  mathscinet  zmath  isi  scopus  scopus
    2. V. K. Beloshapka, “Real submanifolds in complex space: polynomial models, automorphisms, and classification problems”, Russian Math. Surveys, 57:1 (2002), 1–41  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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