The classification of <i>N</i>-dimensional non-associative Jordan algebras with (<i>N</i> − 3)-dimensional annihilator

The paper is devoted to give a complete classification of all n-dimensional non-associative Jordan algebras with (n−3)-dimensional annihilator over an algebraically closed field of characteristic ≠2. We also give a complete classification of all n-dimensional Jordan algebras with (n−1)- and (n−2)-dimensional annihilator.

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