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Mathematics of the USSR-Sbornik, 1984, Volume 48, Issue 2, Pages 521–533
DOI: https://doi.org/10.1070/SM1984v048n02ABEH002689 (Mi sm2145) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Invariant operators on a symplectic supermanifold

G. S. Shmelev
English version PDF (645 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM1984v048n02ABEH002689
Abstract: This paper studies unary operators in tensor fields on a symplectic supermanifold that are invariant with respect to canonical changes of coordinates. The formal analogue of this problem is considered – operators in formal tensor fields. A complete classification is given for such operators in the case when the image of an operator lies in a tensor field whose fiber is the direct sum of spaces generated by the highest vector.
Figures: 5.
Bibliography: 5 titles.
Received: 06.05.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 120(162), Number 4, Pages 528–539
Bibliographic databases:
UDC: 517.43
MSC: Primary 58A05; Secondary 58A10
Language: English
Original paper language: Russian
Citation: G. S. Shmelev, “Invariant operators on a symplectic supermanifold”, Mat. Sb. (N.S.), 120(162):4 (1983), 528–539; Math. USSR-Sb., 48:2 (1984), 521–533
Citation in format AMSBIB
\Bibitem{Shm83}
\by G.~S.~Shmelev
\paper Invariant operators on a symplectic supermanifold
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 120(162)
\issue 4
\pages 528--539
\mathnet{http://mi.mathnet.ru/sm2145}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=695958}
\zmath{https://zbmath.org/?q=an:0539.58009}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 48
\issue 2
\pages 521--533
\crossref{https://doi.org/10.1070/SM1984v048n02ABEH002689}
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    • 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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    Abstract page:292
    Russian version PDF:86
    English version PDF:12
    References:53
     
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