Abstract
Zel'manov polynomials are elements of a free special Jordan system which are both hermitian (their values look like hermitian elements) and Clifford (they do not vanish on systems T containing H 3 = H( M 3( Φ), t)). These polynomials decide the classification of strongly prime special Jordan systems: T is either Clifford or hermitian according as some Zel'manov polynomial does or does not vanish on T. The existence of such polynomials has been established by McCrimmon and Zel'manov for quadratic Jordan algebras, and by Zel'manov for linear Jordan triple systems (and pairs). In this paper, we carry out the construction for quadratic Jordan triple systems (and pairs).
Published Version
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