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Funktsional'nyi Analiz i ego Prilozheniya, 1972, Volume 6, Issue 3, Pages 25–29 (Mi faa2511)  

This article is cited in 13 scientific papers (total in 13 papers)

Cohomology of the Lie algebra of Hamiltonian formal vector fields

I. M. Gel'fand, D. I. Kalinin, D. B. Fuchs
References:
Received: 04.04.1972
English version:
Functional Analysis and Its Applications, 1972, Volume 6, Issue 3, Pages 193–196
DOI: https://doi.org/10.1007/BF01077874
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. M. Gel'fand, D. I. Kalinin, D. B. Fuchs, “Cohomology of the Lie algebra of Hamiltonian formal vector fields”, Funktsional. Anal. i Prilozhen., 6:3 (1972), 25–29; Funct. Anal. Appl., 6:3 (1972), 193–196
Citation in format AMSBIB
\Bibitem{GelKalFuc72}
\by I.~M.~Gel'fand, D.~I.~Kalinin, D.~B.~Fuchs
\paper Cohomology of the Lie algebra of Hamiltonian formal vector fields
\jour Funktsional. Anal. i Prilozhen.
\yr 1972
\vol 6
\issue 3
\pages 25--29
\mathnet{http://mi.mathnet.ru/faa2511}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=312531}
\zmath{https://zbmath.org/?q=an:0259.57023}
\transl
\jour Funct. Anal. Appl.
\yr 1972
\vol 6
\issue 3
\pages 193--196
\crossref{https://doi.org/10.1007/BF01077874}
Linking options:
  • https://www.mathnet.ru/eng/faa2511
  • https://www.mathnet.ru/eng/faa/v6/i3/p25
  • This publication is cited in the following 13 articles:
    1. Oǧul Esen, Serkan Sütlü, “Matched pair analysis of the Vlasov plasma”, JGM, 13:2 (2021), 209  crossref
    2. Kentaro MIKAMI, “An affirmative answer to a conjecture on the Metoki class”, J. Math. Soc. Japan, 68:1 (2016)  crossref
    3. S. Mohammadzadeh, D. B. Fuchs, “Cohomology of the Lie Algebra $\mathfrak{H}_2$: Experimental Results and Conjectures”, Funct. Anal. Appl., 48:2 (2014), 128–137  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. Masashi TAKAMURA, “The Cohomology of the Lie Algebras of Formal Poisson Vector Fields and Laplace Operators”, Tokyo J. Math., 32:1 (2009)  crossref
    5. Masashi TAKAMURA, “The relative cohomology of formal contact vector fields with respect to formal Poisson vector fields”, J. Math. Soc. Japan, 60:1 (2008)  crossref
    6. Kotschick, D, “Characteristic classes of foliated surface bundles with area-preserving holonomy”, Journal of Differential Geometry, 75:2 (2007), 273  isi
    7. I.M Gelfand, O Mathieu, “On the cohomology of the Lie algebra of hamiltonian vector fields”, Journal of Functional Analysis, 108:2 (1992), 347  crossref
    8. M. N. Prokhorov, “The absence of discrete reflection groups with noncompact fundamental polyhedron of finite volume in Lobachevskii space of large dimension”, Math. USSR-Izv., 28:2 (1987), 401–411  mathnet  crossref  mathscinet  zmath
    9. È. B. Vinberg, “Hyperbolic reflection groups”, Russian Math. Surveys, 40:1 (1985), 31–75  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    10. D. B. Fuchs, “Finite dimensionality of homologies of the Lie algebra of Hamiltonian vector field on the plane”, Funct. Anal. Appl., 19:4 (1985), 305–310  mathnet  crossref  mathscinet  zmath  isi
    11. D. B. Fuchs, “Characteristic classes of foliations”, Russian Math. Surveys, 28:2 (1973), 1–16  mathnet  crossref  mathscinet  zmath
    12. J. H. Bernstein, B. I. Rozenfel'd, “Homogeneous spaces of infinite-dimensional Lie algebras and characharacteristic classes of foliations”, Russian Math. Surveys, 28:4 (1973), 107–142  mathnet  crossref  mathscinet  zmath
    13. K. Godbiion, “Kogomologii algebr Li formalnykh vektornykh polei”, UMN, 28:4(172) (1973), 139–151  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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