Skip to main content

Sur la dimension de Krull de l'algèbre enveloppante d'une algèbre de Lie semi-simple

  • Conference paper
  • First Online:
Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 924))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Références

  • [B.G.G.] I.N. Bernstein, I.M. Gelfand and S.I. Gelfand—Differential operators on the base affine space and a study of g-modules. In “Lie Groups and their representations” Proceedings, Bolyai Janos Math. Soc. Budapest (1971).

    Google Scholar 

  • [D] J. Dixmier—Algèbres Enveloppantes Gauthier Villars (1974).

    Google Scholar 

  • [Du] M. Duflo—Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple. Ann. of Math. 105 (1977) 107–120.

    Article  MathSciNet  MATH  Google Scholar 

  • [Fo] J. Fogarty—Invariant theory, Benjamin, New York (1969).

    MATH  Google Scholar 

  • [F-O] J.W. Fisher, J. Osterburg—Some Results on rings with finite group actions. L.N. in Math. no 25 (1976). Springer Verlag.

    Google Scholar 

  • [G.K.] I.M. Gelfand and A.A. Kirillov—The structure of the Lie field connected with a split semi-simple lie algebra. Funk. Analiz i Ego. Prilozhen 3 no 1 7–26 (1969).

    MathSciNet  Google Scholar 

  • [J.1.] A. Joseph—The minimal orbit in a simple Lie algebra and its associated maximal ideal. Ann. Sci. Ec. Normale Sup. 9 (1976) 1–30.

    MathSciNet  MATH  Google Scholar 

  • [J.2] A. Joseph—Cours de 3ème cycle. Université paris VI (1981).

    Google Scholar 

  • [L] T. Levasseur—Dimension injective des quotients primitifs minimaux de l'algèbre enveloppante d'une algèbre de Lie semi-simple. C.R. Acad. Sci. t. 292—Série I (1981) 385–387.

    MathSciNet  MATH  Google Scholar 

  • [Sh] N.N. Shapovalov—On a conjecture of Gelfand-Kirillov. Funk. Analiz i Ego Pril. vol 7 no 2 (1973) 93–94.

    MathSciNet  Google Scholar 

  • [Sm] S.P. Smith—Krull dimension and Gelfand-Kirillov dimension of modules over enveloping algebras. Ph. Doc. Leeds (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Marie-Paule Malliavin

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Levasseur, T. (1982). Sur la dimension de Krull de l'algèbre enveloppante d'une algèbre de Lie semi-simple. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 924. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092932

Download citation

  • DOI: https://doi.org/10.1007/BFb0092932

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11496-3

  • Online ISBN: 978-3-540-39188-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics