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Cartan Subalgebras of Jordan Algebras
Published online by Cambridge University Press: 22 January 2016
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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).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1966
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