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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 1, Pages 67–81
DOI: https://doi.org/10.1070/SM1982v041n01ABEH002221
(Mi sm2779)
 

This article is cited in 4 scientific papers (total in 4 papers)

Imbedding of a group of measure-preserving diffeomorphisms into a semidirect product and its unitary representations

R. S. Ismagilov
References:
Abstract: The author considers the group $D^0(X,v)$ of diffeomorphisms of a compact manifold $X$ that preserve a measure $v$, and describes its unitary representations whose restrictions to any subgroup $D^0(Y,v)$, where $Y\simeq\mathbf R^n$, are continuous on $D^0(Y,v)$ with respect to convergence in measure in $D^0(Y,v)$. As an example, a family of representations $T^\alpha$ indexed by the nonzero elements $\alpha\in H^1(X,\mathbf R)$ is studied.
Bibliography: 12 titles.
Received: 05.09.1979
Bibliographic databases:
UDC: 513.836
MSC: Primary 57S05, 58C35; Secondary 22E65, 58D05, 81C40
Language: English
Original paper language: Russian
Citation: R. S. Ismagilov, “Imbedding of a group of measure-preserving diffeomorphisms into a semidirect product and its unitary representations”, Math. USSR-Sb., 41:1 (1982), 67–81
Citation in format AMSBIB
\Bibitem{Ism80}
\by R.~S.~Ismagilov
\paper Imbedding of a~group of measure-preserving diffeomorphisms into a~semidirect product and its unitary representations
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 1
\pages 67--81
\mathnet{http://mi.mathnet.ru//eng/sm2779}
\crossref{https://doi.org/10.1070/SM1982v041n01ABEH002221}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=590539}
\zmath{https://zbmath.org/?q=an:0484.58011|0443.58012}
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  • https://doi.org/10.1070/SM1982v041n01ABEH002221
  • https://www.mathnet.ru/eng/sm/v155/i1/p81
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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