Jordan triple forms of Jordan algebras
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- by Erhard Neher PDF
- Proc. Amer. Math. Soc. 87 (1983), 386-388 Request permission
Abstract:
We show that a central nondegenerate Jordan triple system over a field of characteristic $\ne 2$ has a nonzero center iff it is scalar isomorphic to a Jordan algebra. As an application we classify Jordan triple forms of Jordan algebras.References
- Hel Braun and Max Koecher, Jordan-Algebren, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band 128, Springer-Verlag, Berlin-New York, 1966 (German). MR 0204470
- Kurt Meyberg, Lectures on algebras and triple systems, University of Virginia, Charlottesville, Va., 1972. Notes on a course of lectures given during the academic year 1971–1972. MR 0340353
- Erhard Neher, Jordan triple systems with completely reducible derivation or structure algebras, Pacific J. Math. 113 (1984), no. 1, 137–164. MR 745600
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 386-388
- MSC: Primary 17C20
- DOI: https://doi.org/10.1090/S0002-9939-1983-0684623-0
- MathSciNet review: 684623