Skip to main content
SpringerLink
Log in

Nilpotent elements in semi-simple Jordan algebras

  • Published:
Mathematische Annalen 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

Bibliography

  1. Albert, A. A.: “On Jordan algebras of linear transformations.” Trans. Amer. Math. Soc.59, 524–555.

  2. Albert, A. A.: “The Wedderburn principal theorem for Jordan algebras.” Annals of Math.48, 1–7 (1947).

    Google Scholar 

  3. Albert, A. A.: “A structure theory for Jordan algebras.” Annals of Math.48, 446–467 (1947).

    Google Scholar 

  4. Albert, A. A.: “A theory of power associative commutative algebras.” Trans. Amer. Math. Soc.69 503–527 (1950).

    Google Scholar 

  5. Albert, A. A., andN. Jacobson: “Reduced exceptional simple Jordan algebras.” Annals of Math.66, 400–417 (1957).

    Google Scholar 

  6. Cohn, P. M.: “Special Jordan algebras.” Canad. Journ. of Math.6, 253–264 (1954).

    Google Scholar 

  7. Freudenthal, H.: “Oktaven, Ausnahmegruppen and Oktavengeometrie.” Utrecht, 1951.

  8. Harsri, B.: “Centralizers in Jordan algebras”, to appear in Pacific Journ. of Math.

  9. Jacobson, F. D., and N. Jacobson: “Classification and representation of semi-simple Jordan algebras.” Trans. Amer. Math. Soc.65, 141–169 (1949).

    Google Scholar 

  10. Jacobson, N.: “Theory of Rings.” Amer. Math. Soc. Surveys, vol. 2, New York, 1943.

  11. Jacobson, N.: Completely reducible Lie algebras of linear transformations. Proc. Amer. Math. Soc.2, 105–113 (1951).

    Google Scholar 

  12. Jacobson, N.: “Structure of alternative and Jordan bimodules.” Osaka Math. Jour.6, 1–70 (1954).

    Google Scholar 

  13. Jacobson, N.: “A theorem on the structure of Jordan algebras.” Proc. Nat. Acad. Sci.42, 140–147 (1956).

    Google Scholar 

  14. Jacobson, N.: “A note on three dimensional simple Lie algebras.” Indiana J. of Math. and Mech.7, 823–832. (1958).

    Google Scholar 

  15. Jacobson, N.: “Some groups of transformations defined by Jordan algebras”, I and II, forthcoming in Journal für r. u. angew. Math.

  16. Jacobson, N., andL. J. Paige: “Jordan algebras with two generators.” Indiana J. of Math. and Mech.6, 895–906 (1957).

    Google Scholar 

  17. Malcev, A. I.: “Foundations of Linear Algebra” (Russian), Moscow-Leningrad, 1947.

  18. Penico, A. J.: “The Wedderburn principal theorem for Jordan algebras.” Trans. Amer. Math. Soc.70, 404–421 (1951).

    Google Scholar 

  19. Schafer, R. D.: “The exceptional simple Jordan algebras.” Amer. J. of Math.70, 82–94 (1948).

    Google Scholar 

  20. Shirshov, A. I.: “On special J-rings.” Math. Sbornik.38, (80), 149–160 (1956).

    Google Scholar 

  21. Taft, E.: “Invariant Wedderburn factors”, Illinois Journ. of Math.1, 565–573 (1957).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. New Haven, Conn.

    N. Jacobson

Authors
  1. N. Jacobson
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported in part by the Office of Naval Research under contract Nonr 609–19.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jacobson, N. Nilpotent elements in semi-simple Jordan algebras. Math. Ann. 136, 375–386 (1958). https://doi.org/10.1007/BF01360244

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360244

Keywords

Search

Navigation