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arXiv · 1501.00890

Classification of some Solvable Leibniz Algebras

Ismail Demir·Kailash C. Misra·Ernie Stitzinger
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Abstract

Leibniz algebras are certain generalization of Lie algebras. In this paper we give classification of non-Lie solvable (left) Leibniz algebras of dimension $\leq 8$ with one dimensional derived subalgebra. We use the canonical forms for the congruence classes of matrices of bilinear forms to obtain our result. Our approach can easily be extended to classify these algebras of higher dimensions. We also revisit the classification of three dimensional non-Lie solvable (left) Leibniz algebras.

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Ismail Demir, Kailash C. Misra, Ernie Stitzinger. 2015-01-05. Classification of some Solvable Leibniz Algebras. https://doi.org/10.1007/s10468-015-9580-5

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