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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Existence and conjugacy of Cartan subalgebras of Jordan algebras


Author: Ottmar Loos
Journal: Proc. Amer. Math. Soc. 50 (1975), 40-44
MSC: Primary 17C10
MathSciNet review: 0369460
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Abstract: It is shown that a finite-dimensional Jordan algebra over a field $ k$ of characteristic $ \ne 2$ contains Cartan subalgebras, and that any two Cartan subalgebras are conjugate by an inner automorphism provided $ k$ is algebraically closed.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0369460-4
PII: S 0002-9939(1975)0369460-4
Keywords: Jordan algebra, Cartan subalgebra
Article copyright: © Copyright 1975 American Mathematical Society