Skip to main content

SL2(k)

  • 1036 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 585)

Keywords

  • Polynomial Function
  • Formal Power Series
  • Full System
  • Rational Representation
  • Homogeneous Element

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   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
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 for Ch.3

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

    Google Scholar 

  2. M.Demazure, Démonstration de la conjecture de Mumford (d'après W.Haboush), Sém.Bourbaki no.462, 1974/75.

    Google Scholar 

  3. J.Dieudonné and J.B.Carrell, Invariant theory, old and new, New York, Acad.Press, 1971.

    Google Scholar 

  4. v. Gall, Das vollständige Formensystem einer binären Form achter Ordnung, Math.Ann.17 (1880), 31–51, 139–152, 456.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. v. Gall, Das vollständige Formensystem der binären Form 7ter Ordnung, Math.Ann.21 (1888), 318–336.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. P. Gordan, Vorlesungen über Invariantentheorie (herausgegeben von G.Kerschensteiner), Bd.II, Leipzig, Teubner, 1887.

    Google Scholar 

  7. J.H.Grace and A.Young, The algebra of invariants, Cambridge Univ. Press, 1903.

    Google Scholar 

  8. W.J. Haboush, Reductive groups are geometrically reductive, Ann.of Math. 102 (1975), 67–83.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. M.Hamermesh, Group theory and its applications to physical problems, Addison-Wesley, 1962.

    Google Scholar 

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

    Google Scholar 

  11. C. Jordan, Mémoire sur les covariants des formes binaires, Journal de Math. (3), 2(1876), 177–233 and (3),5(1879), 345–378.

    MATH  Google Scholar 

  12. S.Lang, Algebra, Addison-Wesley, 1965.

    Google Scholar 

  13. W.Fr. Meyer, Bericht über den gegenwärtigen Stand der Invariantentheorie, Jahresber.D.M.V. 1 (1892), 79–292.

    MATH  Google Scholar 

  14. I.Schur, Vorlesungen über Invariantentheorie, Grundl.d.Math.Wiss., Bd.143, Springer-Verlag, 1968.

    Google Scholar 

  15. J.J.Sylvester, Proof of the hitherto undemonstrated fundamental theorem of invariants, Coll.Math.Papers, III, 117–126, Chelsea, 1973.

    Google Scholar 

  16. J.J.Sylvester, Tables of the generating functions and ground forms of the binary quantics of the first ten orders, ibid., 283–311.

    Google Scholar 

  17. J.J.Sylvester, Tables of the generating functions and ground forms of the binary duodecimic, with some remarks, and tables of the irreducible syzygies of certain quantics, ibid., 489–508.

    Google Scholar 

  18. J.J.Sylvester, A demonstration of the impossibility of the binary octavic possessing any ground form of deg-order 10.4, ibid. 509–529.

    Google Scholar 

  19. R.Weitzenböck, Invariantentheorie, Groningen, Noordhoff, 1923.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 Springer-Verlag

About this chapter

Cite this chapter

Springer, T.A. (1977). SL2(k). In: Invariant Theory. Lecture Notes in Mathematics, vol 585. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095647

Download citation

  • DOI: https://doi.org/10.1007/BFb0095647

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08242-2

  • Online ISBN: 978-3-540-37370-4

  • eBook Packages: Springer Book Archive