On classification of four-dimensional nilpotent Leibniz algebras |
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| Authors: | Ismail Demir Kailash C. Misra Ernie Stitzinger |
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| Affiliation: | 1. Department of Mathematics, North Carolina State University, Raleigh, North Carolina, USAidemir@ncsu.edu;3. Department of Mathematics, North Carolina State University, Raleigh, North Carolina, USA |
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| Abstract: | 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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| Keywords: | Classification Leibniz algebra nilpotency solvability |
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