alexa An algorithm for the classification of 3-dimensional complex Leibniz algebras


Journal of Generalized Lie Theory and Applications

Author(s): JM Casas, MA Insua, M Ladra, S Ladra

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We propose an algorithm using Gröbner bases that decides in terms of the existence of a non singular matrix P if two Leibniz algebra structures over a finite dimensional C-vector space are representative of the same isomorphism class.
We apply this algorithm in order to obtain a reviewed classification of the 3-dimensional Leibniz algebras given by Ayupov and Omirov. The algorithm has been implemented in a Mathematica notebook.
This article was published in Linear Algebra and its Applications and referenced in Journal of Generalized Lie Theory and Applications

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