Skip to main content
SpringerLink
Log in
Book cover

Global Analysis — Studies and Applications III pp 79–110Cite as

Schouten bracket and canonical algebras

  • Chapter
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1334))

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Vinogradov, A.M., and Krasil'shchik, I.S., What is the Hamiltonian formalism? Uspekhi Mat. Nauk 30 (1975), English transl. in Russian Math. Surveys 30 (1975), 177–202.

    Google Scholar 

  2. Krasil'shchik, I.S, Hamiltonian cohomology of canonical algebras, Dokl.Akad. Nauk SSSR 251 (1980), English transl. in Soviet Math. Dokl. 21 (1980), 625–629.

    Google Scholar 

  3. Frolicher, A., Nijenhuis, A., Theory of vector-valued differential forms I, Indag. Math. 18(1956), 338–359; II, Indag.Math. 20 (1958), 414–429.

    Article  MathSciNet  MATH  Google Scholar 

  4. Lichnerowicz, A., New geometrical dynamics, Lecture Notes in Math. 570(1975), 377–394.

    Article  MathSciNet  Google Scholar 

  5. Gel'fand, I.M., and Dorfman I.Ya., Schouten bracket and Hamiltonian operators, Funct. Anal. and Appl. 14(1980), 71–74.

    Article  MathSciNet  MATH  Google Scholar 

  6. Vinogradov, A.M., The logic algebra for the theory of linear differential operators, Dokl. Akad. Nauk SSSR 205(1972); English transl. in Soviet Math. Dokl. 13(1972), 1058–1062.

    Google Scholar 

  7. Krasil'shchik, I.S., Vinogradov, A.M. and Lychagin, V.V. Geometry of Jet Spaces and Nonlinear Differential Equations, Gordon and Breach Sci.Publ, New York, 1986.

    MATH  Google Scholar 

  8. Arnol'd, V.I, Mathematical Methods of Classical Mechanics, Nauka, Moscow, 1974.

    MATH  Google Scholar 

  9. Maclane, S., Homology, Springer-Verlag, Berlin, 1963.

    Book  MATH  Google Scholar 

  10. Serre, J.-P., Lie Algebras and Lie Groups, Benjamin, New York-Amsterdam, 1965.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. All-Union Institute for Scientific and Technical Information, Baltiyskaya ul., 14, 125219, Moscow, USSR

    I. S. Krasil'shchik

Authors
  1. I. S. Krasil'shchik
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Yurii G. Borisovich Yurii E. Gliklikh A.M. Vershik

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this chapter

Cite this chapter

Krasil'shchik, I.S. (1988). Schouten bracket and canonical algebras. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A. (eds) Global Analysis — Studies and Applications III. Lecture Notes in Mathematics, vol 1334. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080424

Download citation

  • DOI: https://doi.org/10.1007/BFb0080424

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50019-3

  • Online ISBN: 978-3-540-45894-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation