Skip to main content
Log in

Cohomologies of Lie algebra of vector fields with nontrivial coefficients

  • Published:
Functional Analysis and Its Applications Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. I. M. Gel'fand and D. B. Fuks, "Cohomologies of Lie algebra of tangential vector fields of a smooth manifold," Funktsional'. Analiz i Ego Prilozhen.,3, No. 3, 32–52 (1969).

    Google Scholar 

  2. I. M. Gel'fand and D. B. Fuks, "Cohomologies of Lie algebra of tangential vector fields of a smooth manifold. II," Funktsional'. Analiz i Ego Prilozhen.,4, No. 2, 23–31 (1970).

    Google Scholar 

  3. I. M. Gel'fand and D. B. Fuks, "Cohomologies of Lie algebra of formal vector fields," Izv. AN SSSR, seriya matem.,34, No. 2, 322–337 (1970).

    Google Scholar 

  4. M. V. Losik, "On the cohomologies of infinite dimensional Lie algebras of formal vector fields," Funktsional'. Analiz i Ego Prilozhen.,4, No. 2, 43–53 (1970).

    Google Scholar 

  5. H. Cartan and S. Eilenberg, Cohomological Algebra [Russian translation], IL, Moscow (1960).

    Google Scholar 

  6. J. P. Serre and C. Hochshild, Cohomology of group extensions, Trans. Amer. Math. Soc.,74 (1953), 110–134.

    Google Scholar 

  7. D. B. Fuks, "Spectral Sequences of Fibers," Uspekhi Matem. Nauk,21, No. 5, 149–181 (1966).

    Google Scholar 

Download references

Authors

Additional information

Moscow State University. Translated from Funktional'nyi Analiz i Ego Prilozheniya, Vol. 4, No. 3, pp. 10–25, July–September, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gel'fand, I.M., Fuks, D.B. Cohomologies of Lie algebra of vector fields with nontrivial coefficients. Funct Anal Its Appl 4, 181–192 (1970). https://doi.org/10.1007/BF01075238

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01075238

Keywords

Navigation