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arxiv: 1511.07296 · v1 · pith:WFG7BX3Pnew · submitted 2015-11-23 · 🧮 math.RA

On Classification of Four Dimensional Nilpotent Leibniz Algebras

classification 🧮 math.RA
keywords algebrasleibnizclassificationdimensionalformsfournilpotentbilinear
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Leibniz algebras are certain generalization of Lie algebras. In this paper we give the classification of four dimensional non-Lie nilpotent Leibniz algebras. We use the canonical forms for the congruence classes of matrices of bilinear forms and some other techniques to obtain our result.

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