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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 2, Pages 359–376
DOI: https://doi.org/10.1070/IM1982v019n02ABEH001422 (Mi im1600) 		 
This article is cited in 21 scientific papers (total in 21 papers)

The constructive theory of invariants

V. L. Popov
English version PDF (949 kB) Citations (21)
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DOI: https://doi.org/10.1070/IM1982v019n02ABEH001422
Abstract: In this paper we find an explicit upper bound on the number of elements of a minimal homogeneous system of generators of the algebra of invariants of an arbitrary connected semisimple linear group over an algebraically closed field of characteristic zero. We also show that the approach to the solution of this problem proposed by Dieudonné and Carrell contains an error and does not in fact achieve its aim.
Bibliography: 20 titles.
Received: 24.04.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 5, Pages 1100–1120
Bibliographic databases:
Document Type: Article
UDC: 519.4
MSC: 15A72, 20G15
Language: English
Original paper language: Russian
Citation: V. L. Popov, “The constructive theory of invariants”, Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981), 1100–1120; Math. USSR-Izv., 19:2 (1982), 359–376
Citation in format AMSBIB
\Bibitem{Pop81}
\by V.~L.~Popov
\paper The constructive theory of invariants
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 5
\pages 1100--1120
\mathnet{http://mi.mathnet.ru/im1600}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=637618}
\zmath{https://zbmath.org/?q=an:0501.14006|0478.14006}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 2
\pages 359--376
\crossref{https://doi.org/10.1070/IM1982v019n02ABEH001422}
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  • https://doi.org/10.1070/IM1982v019n02ABEH001422
  • https://www.mathnet.ru/eng/im/v45/i5/p1100
    • This publication is cited in the following 21 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:490
    Russian version PDF:171
    English version PDF:10
    References:59
    First page:3
     
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