Description of some classes of Leibniz algebras
In this paper we describe the isomorphism classes of finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal generated by squares is isomorphic to the direct sum of three-dimensional simple Lie algebra sl2 and a three-dimensional solvable ideal. We choose a basis...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/56265/1/Description%20of%20some%20classes%20of%20Leibniz%20algebras.pdf |
| _version_ | 1825931382006743040 |
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| author | Rakhimov, Isamiddin Sattarovich Rikhsiboev, Ikrom Mirzarustamovich Khudoyberdiyev, Abror Khakimovich Karimjanov, Ikboljon Abdulazizovich |
| author_facet | Rakhimov, Isamiddin Sattarovich Rikhsiboev, Ikrom Mirzarustamovich Khudoyberdiyev, Abror Khakimovich Karimjanov, Ikboljon Abdulazizovich |
| author_sort | Rakhimov, Isamiddin Sattarovich |
| collection | UPM |
| description | In this paper we describe the isomorphism classes of finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal generated by squares is isomorphic to the direct sum of three-dimensional simple Lie algebra sl2 and a three-dimensional solvable ideal. We choose a basis of the isomorphism classes' representatives and give explicit multiplication tables. |
| first_indexed | 2024-03-06T09:25:53Z |
| format | Article |
| id | upm.eprints-56265 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:25:53Z |
| publishDate | 2012 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | upm.eprints-562652017-07-31T04:14:55Z http://psasir.upm.edu.my/id/eprint/56265/ Description of some classes of Leibniz algebras Rakhimov, Isamiddin Sattarovich Rikhsiboev, Ikrom Mirzarustamovich Khudoyberdiyev, Abror Khakimovich Karimjanov, Ikboljon Abdulazizovich In this paper we describe the isomorphism classes of finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal generated by squares is isomorphic to the direct sum of three-dimensional simple Lie algebra sl2 and a three-dimensional solvable ideal. We choose a basis of the isomorphism classes' representatives and give explicit multiplication tables. Elsevier 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/56265/1/Description%20of%20some%20classes%20of%20Leibniz%20algebras.pdf Rakhimov, Isamiddin Sattarovich and Rikhsiboev, Ikrom Mirzarustamovich and Khudoyberdiyev, Abror Khakimovich and Karimjanov, Ikboljon Abdulazizovich (2012) Description of some classes of Leibniz algebras. Linear Algebra and Its Applications, 437 (9). pp. 2209-2227. ISSN 0024-3795; ESSN: 1873-1856 http://www.sciencedirect.com/science/article/pii/S0024379512004491 10.1016/j.laa.2012.06.014 |
| spellingShingle | Rakhimov, Isamiddin Sattarovich Rikhsiboev, Ikrom Mirzarustamovich Khudoyberdiyev, Abror Khakimovich Karimjanov, Ikboljon Abdulazizovich Description of some classes of Leibniz algebras |
| title | Description of some classes of Leibniz algebras |
| title_full | Description of some classes of Leibniz algebras |
| title_fullStr | Description of some classes of Leibniz algebras |
| title_full_unstemmed | Description of some classes of Leibniz algebras |
| title_short | Description of some classes of Leibniz algebras |
| title_sort | description of some classes of leibniz algebras |
| url | http://psasir.upm.edu.my/id/eprint/56265/1/Description%20of%20some%20classes%20of%20Leibniz%20algebras.pdf |
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