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Mathematics of the USSR-Sbornik, 1979, Volume 35, Issue 4, Pages 541–554
DOI: https://doi.org/10.1070/SM1979v035n04ABEH001571 (Mi sm2673) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Finite-dimensional irreducible representations of Hamiltonian Lie superalgebras

A. V. Shapovalov
English version PDF (966 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM1979v035n04ABEH001571
Abstract: We describe all of the irreducible representations of the simple algebras of the series $H(n)$, and we realize these representations either as irreducible induced representations of a Lie subalgebra of $H(n)$ or as subrepresentations of the representation of the Hamiltonian vector fields in the space of differential forms on a supermanifold; these cases are mutually exclusive.
Bibliography: 7 titles.
Received: 03.03.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1978, Volume 107(149), Number 2(10), Pages 259–274
Bibliographic databases:
UDC: 519.46
MSC: Primary 17E05, 17B10; Secondary 17B20, 17B55, 58A15, 58F05
Language: English
Original paper language: Russian
Citation: A. V. Shapovalov, “Finite-dimensional irreducible representations of Hamiltonian Lie superalgebras”, Mat. Sb. (N.S.), 107(149):2(10) (1978), 259–274; Math. USSR-Sb., 35:4 (1979), 541–554
Citation in format AMSBIB
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\by A.~V.~Shapovalov
\paper Finite-dimensional irreducible representations of Hamiltonian Lie superalgebras
\jour Mat. Sb. (N.S.)
\yr 1978
\vol 107(149)
\issue 2(10)
\pages 259--274
\mathnet{http://mi.mathnet.ru/sm2673}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=512011}
\zmath{https://zbmath.org/?q=an:0421.17003|0401.17008}
\transl
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 4
\pages 541--554
\crossref{https://doi.org/10.1070/SM1979v035n04ABEH001571}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JJ04900007}
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  • https://doi.org/10.1070/SM1979v035n04ABEH001571
  • https://www.mathnet.ru/eng/sm/v149/i2/p259
    • This publication is cited in the following 6 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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    Abstract page:377
    Russian version PDF:154
    English version PDF:19
    References:55
     
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