Skip to main content

Déformations universelles des crochets de poisson

  • 340 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1416)

Keywords

  • Nous Avons
  • Nous Allons
  • Suite Exacte
  • Nous Donnons
  • Nous Aurons

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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. F. BAYEN, C. FRONSDAL, M. FLATO, A. LICHNEROWICZ, D. STERNHEIMER: Deformation theory and quantization. Annals of Physics 111 (1978) pp 61–110 et 111–151.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J.E. BJÖRK: Rings of differential operators. North-Holland.

    Google Scholar 

  3. J. BRACONNIER: Eléments d’algèbre différentielle graduée. Publications du Département de Mathématiques de Lyon. 1982.

    Google Scholar 

  4. D.B. FUKS: Cohomologie des algèbres de Lie de dimension infinie (en Russe) Editions Nauka-Moscou (1984).

    Google Scholar 

  5. I.M. GELFAND: Comptes-rendus du Congrès International des Mathématiciens. Nice (1970).

    Google Scholar 

  6. M. GERSTENHABER and S.D. SCHACK: Algebraic cohomology and deformation theory (in [7] pp 11–240).

    Google Scholar 

  7. M. HAZEWINKEL (éditeur): Deformation theory of algebras and structures and Applications. NATO-ASI Series C.vol 247, Kluwer Acad Publishers.

    Google Scholar 

  8. C. KASSEL: L’homologie cyclique des algèbres enveloppantes. Inventiones Mathematicae 91 (1988) pp 221–251.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. P. LECOMTE: Applications of the cohomology of graded Lie algebras to formal deformations of Lie algebras. Letters in Mathematical Physics 13 (1987) pp 157–166.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. P. LECOMTE, D. MELOTTE, C. ROGER: Explicit Form and convergence of the 1-differential formal deformations of the Poisson Lie algebras. A paraitre aux Letters in Mathematical Physics (1989).

    Google Scholar 

  11. D. LEITES et D.B. FUKS: Cohomologie des superalgèbres de Lie. Doklady Bolg. Akad. Nauk (1984) 37 n°10 p 1294–1296.

    Google Scholar 

  12. D. MELOTTE: Cohomologie de Chevalley associée aux variétés de Poisson. Thèse de Doctorat. Université de Liège (1989).

    Google Scholar 

  13. A. NIJENHUIS and M. RICHARDSON: Deformation of Lie algebra structures. Journal of Math. et Mech. vol 17 (1967) pp 39–105.

    MathSciNet  MATH  Google Scholar 

  14. SRIDARAN and TRIPATHY

    Google Scholar 

  15. J. VEY: Déformations du crochet de Poisson d’une variété symplectique. Comm. Math. Helv. 50 (1975) pp 421–454.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. M. DE WILDE et P. LECOMTE: Cohomology of the Lie algebra of smooth vector fields on a manifold associated with the Lie derivative of smooth forms. Journal de Mathématiques Pures et Appliquées 62 (1983) pp 197–214.

    MathSciNet  MATH  Google Scholar 

  17. M. DE WILDE et P. LECOMTE: Existence of star products and of formal deformations of the Poisson-Lie algebra of arbitrary symplectic manifolds. Letters in Mathematical Physics 7 (1983) pp 487–496.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. M. WODZICKI: Cyclic homology of differential operators. Duke Mathematical Journal 54 (1987) pp 641–647.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1990 Springer-Verlag

About this chapter

Cite this chapter

Roger, C. (1990). Déformations universelles des crochets de poisson. In: Albert, C. (eds) Géométrie Symplectique et Mécanique. Lecture Notes in Mathematics, vol 1416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097475

Download citation

  • DOI: https://doi.org/10.1007/BFb0097475

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52191-4

  • Online ISBN: 978-3-540-46920-9

  • eBook Packages: Springer Book Archive