Classification of three dimensional complex Leibniz algebras
The aim of this paper is to complete the classification of three-dimensional complex Leibniz algebras. The description of isomorphism classes of three-dimensional complex Leibniz algebras has been given by Ayupov and Omirov in 1999. However, we found that this list has a little redundancy. In this p...
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| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
American Institute of Physics
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/27756/1/ID%2027756.pdf http://psasir.upm.edu.my/id/eprint/27756/ |
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| Summary: | The aim of this paper is to complete the classification of three-dimensional complex Leibniz algebras. The description of isomorphism classes of three-dimensional complex Leibniz algebras has been given by Ayupov and Omirov in 1999. However, we found that this list has a little redundancy. In this paper we apply a method which is more elegant and it gives the precise list of isomorphism classes of these algebras.We compare our list with that of Ayupov-Omirov and show the corrections which should be made. |
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