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...
| 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 |
| _version_ | 1796971195076182016 |
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| author | Rikhsiboev, Ikrom M. Sattarovich, Rakhimov Isamiddin |
| author_facet | Rikhsiboev, Ikrom M. Sattarovich, Rakhimov Isamiddin |
| author_sort | Rikhsiboev, Ikrom M. |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T08:09:21Z |
| format | Conference or Workshop Item |
| id | upm.eprints-27756 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:09:21Z |
| publishDate | 2011 |
| publisher | American Institute of Physics |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Rikhsiboev, Ikrom M. Sattarovich, Rakhimov Isamiddin Classification of three dimensional complex Leibniz algebras |
| title | 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_short | Classification of three dimensional complex Leibniz algebras |
| title_sort | classification of three dimensional complex leibniz algebras |
| url | http://psasir.upm.edu.my/id/eprint/27756/1/ID%2027756.pdf |
| work_keys_str_mv | AT rikhsiboevikromm classificationofthreedimensionalcomplexleibnizalgebras AT sattarovichrakhimovisamiddin classificationofthreedimensionalcomplexleibnizalgebras |