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Russian Mathematical Surveys, 1976, Volume 31, Issue 4, Pages 55–75
DOI: https://doi.org/10.1070/RM1976v031n04ABEH001556 (Mi rm3760) 		 
This article is cited in 174 scientific papers (total in 174 papers)

Local Lie algebras

A. A. Kirillov
English version PDF (1112 kB) Citations (174) Russian version article
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DOI: https://doi.org/10.1070/RM1976v031n04ABEH001556
Abstract: In this article we investigate the structure of local Lie algebras with a one-dimensional fibre. We show that all such Lie algebras are essentially exhausted by the classical examples of the Hamiltonian and contact Poisson bracket algebras. We give some examples, unsolved problems, and applications of Lie superalgebras
Received: 25.11.1975
Bibliographic databases:
Document Type: Article
UDC: 519.4
MSC: 17B05, 17B63, 17B70
Language: English
Original paper language: Russian
Citation: A. A. Kirillov, “Local Lie algebras”, Russian Math. Surveys, 31:4 (1976), 55–75
Citation in format AMSBIB
\Bibitem{Kir76}
\by A.~A.~Kirillov
\paper Local Lie algebras
\jour Russian Math. Surveys
\yr 1976
\vol 31
\issue 4
\pages 55--75
\mathnet{http://mi.mathnet.ru//eng/rm3760}
\crossref{https://doi.org/10.1070/RM1976v031n04ABEH001556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=438390}
\zmath{https://zbmath.org/?q=an:0352.58014|0357.58003}
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  • https://www.mathnet.ru/eng/rm/v31/i4/p57
    Erratum
    • Errata
      A. A. Kirillov
      Uspekhi Mat. Nauk, 1977, 32:1(193), 268
    This publication is cited in the following 174 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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