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Cartan Subalgebras of Jordan Algebras

Published online by Cambridge University Press:  22 January 2016

N. Jacobson
N. Jacobson*
Affiliation:
Yale University
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In this paper we shall give a definition of an analogue for Jordan algebras of the classical notion of a Cartan subalgebra of a Lie algebra. This is based on a notion of associator nilpotency of a Jordan algebra. A Jordan algebra is called associator nilpotent if there exists a positive (odd) integer M such that every associator of order M formed of elements of is 0 (§2).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966 , pp. 591 - 609
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

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