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Funktsional'nyi Analiz i ego Prilozheniya, 1973, Volume 7, Issue 2, Pages 6–14 (Mi faa2411)  

This article is cited in 48 scientific papers (total in 50 papers)

The cohomologies of Lie algebras of formal vector fields on the line

L. V. Goncharova
Received: 21.06.1972
English version:
Functional Analysis and Its Applications, 1973, Volume 7, Issue 2, Pages 91–97
DOI: https://doi.org/10.1007/BF01078879
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. V. Goncharova, “The cohomologies of Lie algebras of formal vector fields on the line”, Funktsional. Anal. i Prilozhen., 7:2 (1973), 6–14; Funct. Anal. Appl., 7:2 (1973), 91–97
Citation in format AMSBIB
\Bibitem{Gon73}
\by L.~V.~Goncharova
\paper The cohomologies of Lie algebras of formal vector fields on the line
\jour Funktsional. Anal. i Prilozhen.
\yr 1973
\vol 7
\issue 2
\pages 6--14
\mathnet{http://mi.mathnet.ru/faa2411}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=339298}
\zmath{https://zbmath.org/?q=an:0284.17006}
\transl
\jour Funct. Anal. Appl.
\yr 1973
\vol 7
\issue 2
\pages 91--97
\crossref{https://doi.org/10.1007/BF01078879}
Linking options:
  • https://www.mathnet.ru/eng/faa2411
  • https://www.mathnet.ru/eng/faa/v7/i2/p6
  • This publication is cited in the following 50 articles:
    1. V. M. Buchstaber, “Polynomial Eulerian characteristic of nilmanifolds”, Funct. Anal. Appl., 58:1 (2024), 16–32  mathnet  crossref  crossref  mathscinet  isi
    2. V. M. Buchstaber, F. Yu. Popelenskii, “Cohomology of Hopf algebras and Massey products”, Russian Math. Surveys, 79:4 (2024), 567–648  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    3. D. V. Millionshchikov, “Homology and Cohomology of the Lamplighter Lie Algebra”, Proc. Steklov Inst. Math., 318 (2022), 150–160  mathnet  crossref  crossref  mathscinet
    4. Yu. A. Neretin, “A Remark on Nilpotent Lie Algebras that Do No Admit Gradings”, J Math Sci, 247:5 (2020), 711  crossref
    5. Janez Bernik, “Quasi-filiform Lie algebras of maximum length revisited”, Journal of Algebra, 541 (2020), 146  crossref
    6. V. M. Buchstaber, I. Yu. Limonchenko, “Massey products, toric topology and combinatorics of polytopes”, Izv. Math., 83:6 (2019), 1081–1136  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. Yu. A. Neretin, “A remark on nilpotent Lie algebras that do no admit gradings”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye i algoritmicheskie metody. XXX, Zap. nauchn. sem. POMI, 481, POMI, SPb., 2019, 108–124  mathnet
    8. Weinstein F.V., “Cohomology of Lie Algebras of Polynomial Vector Fields on the Line Over Fields of Characteristic 2”, J. Algebra, 483 (2017), 129–144  crossref  isi
    9. I. K. Babenko, “Algebra, geometry, and topology of the substitution group of formal power series”, Russian Math. Surveys, 68:1 (2013), 1–68  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    10. Ishida T. Kawazumi N., “The Lie Algebra of Rooted Planar Trees”, Hokkaido Math. J., 42:3 (2013), 397–416  isi
    11. Martin Schlichenmaier, Geometric Methods in Physics, 2013, 143  crossref
    12. V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    13. Ishida T., “Second Cohomology Classes of the Group of C-1-Flat Diffeomorphisms”, Ann. Inst. Fourier, 62:1 (2012), 77–85  isi
    14. V. A. Krasnov, “Real four-dimensional biquadrics”, Izv. Math., 75:2 (2011), 371–394  mathnet  mathnet  crossref  crossref  isi  scopus
    15. F. V. Weinstein, “Filtering Bases and Cohomology of Nilpotent Subalgebras of the Witt Algebra and the Algebra of Loops in sl2”, Funct. Anal. Appl., 44:1 (2010), 4–21  mathnet  crossref  crossref  mathscinet  zmath  isi
    16. O. V. Alekseev, M. A. Bershtein, “The ring of physical states in the M(2,3) minimal Liouville gravity”, Theoret. and Math. Phys., 164:1 (2010), 929–946  mathnet  crossref  crossref  adsnasa  isi
    17. D. V. Millionshchikov, “Algebra of Formal Vector Fields on the Line and Buchstaber's Conjecture”, Funct. Anal. Appl., 43:4 (2009), 264–278  mathnet  crossref  crossref  mathscinet  zmath  isi
    18. Charles H. Conley, “Conformal symbols and the action of contact vector fields over the superline”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2009:633 (2009)  crossref
    19. I. K. Babenko, S. A. Bogatyi, “On the group of substitutions of formal power series with integer coefficients”, Izv. Math., 72:2 (2008), 241–264  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    20. D. V. Millionshchikov, “Cohomology of Graded Lie Algebras of Maximal Class with Coefficients in the Adjoint Representation”, Proc. Steklov Inst. Math., 263 (2008), 99–111  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    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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