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arxiv: 1808.06171 · v1 · pith:F3O7XZHPnew · submitted 2018-08-19 · 🧮 math.RA

Classification of solvable Leibniz algebras with abelian nilradical and k-1 dimensional extension

classification 🧮 math.RA
keywords abelianalgebrasdimensionalleibniznilradicalsolvableclassificationextension
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This work is devoted to the classification of solvable Leibniz algebras with an abelian nilradical. We consider $k-1$ dimensional extension of $k$-dimensional abelian algebras and classify all $2k-1$-dimensional solvable Leibniz algebras with an abelian nilradical of dimension $k$.

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