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Mathematics of the USSR-Sbornik, 1971, Volume 13, Issue 1, Pages 12–24
DOI: https://doi.org/10.1070/SM1971v013n01ABEH001027 (Mi sm3027) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Conjugacy of polar factorizations of Lie groups

D. V. Alekseevskii
English version PDF (988 kB) Citations (15)
References:
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DOI: https://doi.org/10.1070/SM1971v013n01ABEH001027
Abstract: A Lie group is said to be effective if it is connected and contains no compact normal divisors. A factorization of a connected Lie group into the product of two connected subgroups, the first of which is maximally compact and the second completely solvable is called a polar factorization.
In this article the following theorem is proved.
Theorem. Any two polar factorizations of an effective Lie group are conjugate under an inner automorphism.
Bibliography: 5 titles.
Received: 13.05.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1971, Volume 84(126), Number 1, Pages 14–26
Bibliographic databases:
UDC: 519.46
MSC: 22E40, 22E27, 20E45, 22C05, 20E36
Language: English
Original paper language: Russian
Citation: D. V. Alekseevskii, “Conjugacy of polar factorizations of Lie groups”, Mat. Sb. (N.S.), 84(126):1 (1971), 14–26; Math. USSR-Sb., 13:1 (1971), 12–24
Citation in format AMSBIB
\Bibitem{Ale71}
\by D.~V.~Alekseevskii
\paper Conjugacy of polar factorizations of Lie groups
\jour Mat. Sb. (N.S.)
\yr 1971
\vol 84(126)
\issue 1
\pages 14--26
\mathnet{http://mi.mathnet.ru/sm3027}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=277662}
\zmath{https://zbmath.org/?q=an:0234.22015|0239.22013}
\transl
\jour Math. USSR-Sb.
\yr 1971
\vol 13
\issue 1
\pages 12--24
\crossref{https://doi.org/10.1070/SM1971v013n01ABEH001027}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:99
    English version PDF:8
    References:32
     
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