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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 125, Number 2, Pages 272–281
DOI: https://doi.org/10.4213/tmf668 (Mi tmf668) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Regular representations of the R-deformed Heisenberg algebra

Yu. S. Vernova, M. N. Mnatsakanovab

a Institute for Nuclear Research, Russian Academy of Sciences
b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
Full-text PDF (214 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf668
Abstract: We describe all the irreducible regular representations of the R-deformed Heisenberg algebra in an arbitrary nondegenerate and weakly closed space with an indefinite metric.
Received: 29.05.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 125, Issue 2, Pages 1531–1538
DOI: https://doi.org/10.1007/BF02551012
Bibliographic databases:
Language: Russian
Citation: Yu. S. Vernov, M. N. Mnatsakanova, “Regular representations of the R-deformed Heisenberg algebra”, TMF, 125:2 (2000), 272–281; Theoret. and Math. Phys., 125:2 (2000), 1531–1538
Citation in format AMSBIB
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\by Yu.~S.~Vernov, M.~N.~Mnatsakanova
\paper Regular representations of the $R$-deformed Heisenberg algebra
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\pages 272--281
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 125
\issue 2
\pages 1531--1538
\crossref{https://doi.org/10.1007/BF02551012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000166090500006}
Linking options:
  • https://www.mathnet.ru/eng/tmf668
  • https://doi.org/10.4213/tmf668
  • https://www.mathnet.ru/eng/tmf/v125/i2/p272
    • This publication is cited in the following 2 articles:
    1. Yu. S. Vernov, M. N. Mnatsakanova, “Commutation Relations in an Indefinite-Metric Space”, Theoret. and Math. Phys., 135:3 (2003), 802–807  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. Yu. S. Vernov, M. N. Mnatsakanova, “Regular Representations of the Generalized Heisenberg Algebra”, Theoret. and Math. Phys., 129:2 (2001), 1494–1500  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :190
    References:53
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