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Speciality of full subalgebras and rational identities in Jordan algebras
Published online by Cambridge University Press: 26 February 2010
Extract
The Shirshov-Cohn theorem asserts that in a Jordan algebra (with 1), any subalgebra generated by two elements (and 1) is special. Let J be a Jordan algebra with 1, a, b elements of J and let a1, a2, …, an be invertible elements of J such that
Where
are Jordan polynomials. In [2, p. 425] Jacobson conjectured that for any choice of the Pi the subalgebra of J generated by 1, a, b, a1…, an is special.
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- Copyright © University College London 1992