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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American Institute of Physics
2011
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my.upm.eprints.277562017-09-08T04:01:43Z http://psasir.upm.edu.my/id/eprint/27756/ Classification of three dimensional complex Leibniz algebras Rikhsiboev, Ikrom M. Sattarovich, Rakhimov Isamiddin 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. American Institute of Physics 2011 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/27756/1/ID%2027756.pdf Rikhsiboev, Ikrom M. and Sattarovich, Rakhimov Isamiddin (2011) Classification of three dimensional complex Leibniz algebras. In: 5th International Conference on Research and Education in Mathematics (ICREM5), 22-24 Oct. 2011, Bandung, Indonesia. (pp. 358-362). 10.1063/1.4724168 |
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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. |
| format |
Conference or Workshop Item |
| author |
Rikhsiboev, Ikrom M. Sattarovich, Rakhimov Isamiddin |
| spellingShingle |
Rikhsiboev, Ikrom M. Sattarovich, Rakhimov Isamiddin Classification of three dimensional complex Leibniz algebras |
| author_facet |
Rikhsiboev, Ikrom M. Sattarovich, Rakhimov Isamiddin |
| author_sort |
Rikhsiboev, Ikrom M. |
| title |
Classification of three dimensional complex Leibniz algebras |
| title_short |
Classification of three dimensional complex Leibniz algebras |
| title_full |
Classification of three dimensional complex Leibniz algebras |
| title_fullStr |
Classification of three dimensional complex Leibniz algebras |
| title_full_unstemmed |
Classification of three dimensional complex Leibniz algebras |
| title_sort |
classification of three dimensional complex leibniz algebras |
| publisher |
American Institute of Physics |
| publishDate |
2011 |
| url |
http://psasir.upm.edu.my/id/eprint/27756/1/ID%2027756.pdf http://psasir.upm.edu.my/id/eprint/27756/ |
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1643829270110273536 |