Skip to main content

Series de Poincare dans la theorie des invariants

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

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1029))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

References

  1. A. Cayley, A second memoir upon quantics, Coll. Math. Papers II, 250–275, Cambridge Univ. Press, 1889.

    Google Scholar 

  2. E.B. Dynkin, Semi-simple subalgebras of semi-simple Lie algebras, Am. Math. Soc. Transl. Ser. 2, 6 (1957), 111–245 (=Mat. Sbornik N.S. 30 (1952), 349–462).

    Article  MATH  Google Scholar 

  3. D. Hilbert, Über die vollen Invariantensysteme Ges. Abh., II2, 287–344, Springer-Verlag, 1970.

    Google Scholar 

  4. M. Hochster-J. Roberts, Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Adv. Math., 13(1974), 125–175.

    Article  MathSciNet  MATH  Google Scholar 

  5. V.G. Kac-V.L. Popov-E.B. Vinberg, Sur les groupes linéaires algébriques dont l’algèbre des invariants est libre, C.R. Acad. Sc. Paris, 283 (1976), 875–878.

    MathSciNet  MATH  Google Scholar 

  6. G. Kempf, The Hochster-Roberts theorem of invariant theory, Mich. Math. J. 26 (1979), 19–32.

    Article  MathSciNet  MATH  Google Scholar 

  7. D. Luna, Slices étales, Bull. Soc. Math. France, Mémoire 33(1973), 81–105.

    MATH  Google Scholar 

  8. T. Molien, Über die Invarianten der linearen Substitutionsgruppen, Sitzungsber.K. Preuss.Akad. Wiss. (1897), 1152–1156.

    Google Scholar 

  9. M. Nagata, Local Rings, Interscience, 1962.

    Google Scholar 

  10. V.L. Popov, Constructive invariant theory, dans: Tableaux de Young et fonctions de Schur en algèbre et géométrie (conférence à Toruń), 303–334, Astérisque, vol. 87–88, Soc. Math. France, 1981.

    Google Scholar 

  11. V.L. Popov, Le théorème de finitude pour les représentations dont l’algèbre des invariants est libre (en russe), Izv. Akad. Nauk SSSR, 46(1982), 347–371.

    Google Scholar 

  12. G.W. Schwarz, Representations of simple Lie groups with regular rings of invariants, Inv. Math. 49 (1978), 167–191.

    Article  MathSciNet  MATH  Google Scholar 

  13. W. Smoke, Dimension and multiplicity for graded algebras, J. Alg. 21 (1972), 149–173.

    Article  MathSciNet  MATH  Google Scholar 

  14. T.A. Springer, Invariant theory, Lect. Notes in Math, no 585, Springer-Verlag, 1977.

    Google Scholar 

  15. T.A. Springer, On the invariant theory of SU2, Proc. Kon. Ak. v. Wet. Amsterdam A 83, (1980), 339–345.

    MathSciNet  MATH  Google Scholar 

  16. R.P. Stanley, Combinatory reciprocity theorems, Adv. Math. 14 (1974), 194–253.

    Article  MATH  Google Scholar 

  17. R.P. Stanley, Hilbert functions of graded algebras, Adv. Math. 28(1978), 57–83.

    Article  MathSciNet  MATH  Google Scholar 

  18. R.P. Stanley, Invariants of finite groups and their applications to combinatorics, Bull. Am. Math. Soc. (N.S.) 1 (1979), 475–511.

    Article  MathSciNet  MATH  Google Scholar 

  19. H. Weyl, The classical groups, Princeton Univ. Press, 1946.

    Google Scholar 

  20. H. Weyl, Zur Darstellungstheorie und Invariantenabzählung der projektiven, der Komplex-und der Drehungs gruppe, Ges. Abh. Bd. III, 1–25, Springer-Verlag, 1968.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Marie-Paule Malliavin

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Springer, T.A. (1983). Series de Poincare dans la theorie des invariants. In: Malliavin, MP. (eds) Séminaire d’Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 1029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098926

Download citation

  • DOI: https://doi.org/10.1007/BFb0098926

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12699-7

  • Online ISBN: 978-3-540-38686-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics