Skip to main content
SpringerLink
Log in

The toral tits process of jordan algebras

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. A. A. Albert, N. Jacobson, On reduces exceptional simple Jordan algebras. Ann. of Math. (2)66, 400–417 (1957).

    Article  MathSciNet  Google Scholar 

  2. F.van derBlij, T. A. Springee, The arithmetics of octaves and the groupG 2. Indag. Math.62, 406–418 (1959).

    Google Scholar 

  3. N. Jacobson, Structure and representations of Jordan algebras. Colloq. Publ., Vol.39, Amer. Math. Soc, Providence, R. I., 1968.

  4. —, Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution. Adv. in Math.20, 106–150 (1976).

    Article  MATH  Google Scholar 

  5. O. Loos, Jordan pairs. Lecture Notes in Mathematics, Vol. 460, Springer-Verlag, Berlin—Heidelberg—Bew York, 1975.

    MATH  Google Scholar 

  6. H. P. Petersson, Reduced simple Jordan algebras of degree three over a field with a discrete valuation. Arch. Math.25, 593–597 (1974).

    Article  MATH  MathSciNet  Google Scholar 

  7. H. P. Petersson, M. L. Racine, Exceptional Jordan division algebras. Contemporary Mathematics13, 307–316 (1982).

    Google Scholar 

  8. -, Jordan algebras of degree 3 and the Tits process. To appear in the J. Algebra.

  9. -, Classification of algebras arising from the Tits process. To appear in the J. Algebra.

  10. [10]—, Springer forms and the first Tits construction of exceptional Jordan division algebras. Manuscripta math.45, 249–272 (1984).

    Article  MATH  MathSciNet  Google Scholar 

  11. T. A. Springee, Sur les formes quadratiques d’indice zéro. C. R. Acad. Sci. Paris234, 1517–1519 (1952).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik und Informatik, Fern Universität, Lützowstr. 125, D-5800, Hagèn, Bundesrepublik Deutschland

    Holger P Petersson

  2. Department of Mathematics, University of Ottawa, KIN 9B4, Ottawa, Ontario, Canada

    Michel L Racine

Authors
  1. Holger P Petersson
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Michel L Racine
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research of the second author was supported in part by an NSERC grant and by a von Humboldt Fellowship at the University of Münster

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petersson, H.P., Racine, M.L. The toral tits process of jordan algebras. Abh.Math.Semin.Univ.Hambg. 54, 251–256 (1984). https://doi.org/10.1007/BF02941454

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02941454

Keywords

Search

Navigation