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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 2, Pages 327–342
DOI: https://doi.org/10.1070/IM1970v004n02ABEH000908 (Mi im2418) 		 
This article is cited in 36 scientific papers (total in 36 papers)

Cohomology of the Lie algebra of formal vector fields

I. M. Gel'fand, D. B. Fuchs
English version PDF (761 kB) Citations (36) Russian version article
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DOI: https://doi.org/10.1070/IM1970v004n02ABEH000908
Abstract: We calculate the cohomology of the Lie algebra of formal vector fields at the origin in a euclidean space. The results are applied to the investigation of the Lie algebra of tangent vector fields on a smooth manifold.
Received: 04.11.1969
Bibliographic databases:
UDC: 513.88
MSC: 17B56, 17B66, 46E35, 46E10, 51A10
Language: English
Original paper language: Russian
Citation: I. M. Gel'fand, D. B. Fuchs, “Cohomology of the Lie algebra of formal vector fields”, Math. USSR-Izv., 4:2 (1970), 327–342
Citation in format AMSBIB
\Bibitem{GelFuc70}
\by I.~M.~Gel'fand, D.~B.~Fuchs
\paper Cohomology of the Lie algebra of formal vector fields
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 2
\pages 327--342
\mathnet{http://mi.mathnet.ru//eng/im2418}
\crossref{https://doi.org/10.1070/IM1970v004n02ABEH000908}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=266195}
\zmath{https://zbmath.org/?q=an:0216.20302}
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  • https://www.mathnet.ru/eng/im/v34/i2/p322
    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1009
    Russian version PDF:483
    English version PDF:83
    References:129
    First page:5
     
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