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Mathematics of the USSR-Izvestiya, 1989, Volume 33, Issue 2, Pages 433–439
DOI: https://doi.org/10.1070/IM1989v033n02ABEH000851 (Mi im1222) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Action of biregular automorphisms of the affine plane on pairs of matrices

I. V. Artamkin
English version PDF (372 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM1989v033n02ABEH000851
Abstract: A study is made of the natural action of the group of biregular automorphisms of the affine plane on pairs of square matrices and pairs of symmetric square matrices. It is proved that in the open set of pairs $(A,B)$ such that $A$ is semisimple and $A$ and $B$ have no common invariant subspaces, the commutator $[A,B]=AB-BA$ is the unique invariant in both cases.
Bibliography: 3 titles.
Received: 16.02.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 5, Pages 1109–1115
Bibliographic databases:
UDC: 512.7
MSC: Primary 20B27, 14L17; Secondary 14L15
Language: English
Original paper language: Russian
Citation: I. V. Artamkin, “Action of biregular automorphisms of the affine plane on pairs of matrices”, Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988), 1109–1115; Math. USSR-Izv., 33:2 (1989), 433–439
Citation in format AMSBIB
\Bibitem{Art88}
\by I.~V.~Artamkin
\paper Action of biregular automorphisms of the affine plane on pairs of matrices
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 5
\pages 1109--1115
\mathnet{http://mi.mathnet.ru/im1222}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=972100}
\zmath{https://zbmath.org/?q=an:0683.20031}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 33
\issue 2
\pages 433--439
\crossref{https://doi.org/10.1070/IM1989v033n02ABEH000851}
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  • https://doi.org/10.1070/IM1989v033n02ABEH000851
  • https://www.mathnet.ru/eng/im/v52/i5/p1109
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:296
    Russian version PDF:86
    English version PDF:5
    References:47
    First page:1
     
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