Skip to main content

Cohomologie Locale Et Cohomologie D’algebres De Lie

  • Chapter
Perspectives in Ring Theory

Part of the book series: NATO ASI Series ((ASIC,volume 233))

  • 283 Accesses

Résumé

Bien que de nombreux résultats rappelés ici sont valables sous des hypothèses plus faibles, nous supposerons toujours que les anneaux considérés sont Noéthériens à droite et à gauche.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Références

  1. G. Barouet M.P. Malliavin - Sur la résolution infective minimale de 1’algèbre enveloppante d’une algèbre de Lie résoluble, Journal of Pure and Applied Algebra, 37, (1985), 1–25.

    Article  MathSciNet  Google Scholar 

  2. A. D. Bell - Localization and ideal theory in iterated differential operator rings:, J. of Algebra 106, 376–402, (1987).

    Article  MATH  Google Scholar 

  3. A. D. Bell - Localization and ideal theory in noetherian strongly group-graded rings, J. of Algebra, 105, 76–115 (1987).

    Article  MATH  Google Scholar 

  4. W. Borho, P. Gabriel et R. Rentschier - Primideale in Einhüllenden auflösbarer Lie algebren, Lecture Notes in Math 357, Springer-Verlag, 1973.

    MATH  Google Scholar 

  5. K.A. Brown - The structure of modules over polycyclic groups, Math. Proc. Camb. Phil Soc. (1981), 89, 257–283.

    Article  MATH  Google Scholar 

  6. K.A. Brown - Localization, bimodules and injective modules for enveloping algebras of solvable Lie algebras, Bull. Sc. Math (2) 107 (1983) 225–251.

    MATH  Google Scholar 

  7. K.A. Brown et R.B. Warfield Jr - The influence of ideal structure on representation theory - à paraître.

    Google Scholar 

  8. K.A. Brown et Fokko du Cloux - On the representation theory of solvable Lie algebras - à paraître.

    Google Scholar 

  9. J. Dixmier - Algèbres enveloppantes, Paris, Gauthier-Villars 1974 (Cahiers scientifiques, 37).

    Google Scholar 

  10. Fokko du Cloux - Foncteurs dérivées des vecteurs g-finis (preprint)

    Google Scholar 

  11. A. V. Jategaonkar - Localization in Noetherian rings, London Math. Soc. Lecture Note Séries, n°98, Cambridge University Press, Cambridge 1986.

    Google Scholar 

  12. T. Levasseur - L’enveloppe injective du module trivial sur une algèbre de Lie résoluble, Bull. Sc. Math. 2ème série 110, 1986 p.49–61.

    Google Scholar 

  13. M. P. Malliavin - Représentations injectives d’algèbres de Lie résolubles, Communication in Algebra 14 (8) 1503–1513, 1986.

    Article  MathSciNet  MATH  Google Scholar 

  14. B. J. Müllier - Localization in non communicative Noetherian rings, Canad. J. Math. 28 (1976) 600–610.

    Article  MathSciNet  Google Scholar 

  15. J.T. Stafford - The Goldie rank of a module, Proc. Conf. Noetherian rings, Oberwolfach 1983. Mathematical Surveys n°24 A.M.S. Providence Rhode Islande.

    Google Scholar 

  16. P. Tauvel - Sur les quotients premiers de l’algèbre enveloppante d’une algèbre de Lie résoluble, Bull. Soc. Math. France 106, 1987, p.177–205.

    MathSciNet  Google Scholar 

  17. D. Wigner - Sur l’homologie relative des algèbres de Lie et une conjecture de Zuckermann, C.R. Acad. Sci. Paris t.305 série I, p.59–62, 1987

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Kluwer Academic Publishers

About this chapter

Cite this chapter

Barou, G., Malliavin, MP. (1988). Cohomologie Locale Et Cohomologie D’algebres De Lie. In: van Oystaeyen, F., Le Bruyn, L. (eds) Perspectives in Ring Theory. NATO ASI Series, vol 233. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2985-2_9

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-2985-2_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7841-2

  • Online ISBN: 978-94-009-2985-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics