A classification, up to isomorphism, of two-dimensional (not necessarily commutative) Jordan algebras over any algebraically closed field is presented in terms of their matrices of structure constants.
In this article, we propose an approach classifying a class of filiform Leibniz algebras. The approach is based on algebraic invariants. The method allows to classify all filiform Leibniz algebras (including filiform Lie algebras) in a given fixed dimensional case.
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