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EUROCAST
2009
Springer

Algorithm for Testing the Leibniz Algebra Structure

10 years 9 days ago
Algorithm for Testing the Leibniz Algebra Structure
Abstract. Given a basis of a vector space V over a field K and a multiplication table which defines a bilinear map on V , we develop a computer program on Mathematica which checks if the bilinear map satisfies the Leibniz identity, that is, if the multiplication table endows V with a Leibniz algebra structure. In case of a positive answer, the program informs whether the structure corresponds to a Lie algebra or not, that is, if the bilinear map is skew-symmetric or not. The algorithm is based on the computation of a Gr
José Manuel Casas, Manuel A. Insua, Manuel
Added 17 Feb 2011
Updated 17 Feb 2011
Type Journal
Year 2009
Where EUROCAST
Authors José Manuel Casas, Manuel A. Insua, Manuel Ladra, Susana Ladra
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