On description of Leibniz algebras corresponding to sl2
In this paper we describe finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal I generated by squares is isomorphic to the simple Lie algebra sl2. It is shown that the number of isomorphism classes such of Leibniz algebras coincides with the number of partitio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer Verlag
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30179/ |
| _version_ | 1848846604145000448 |
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| author | Omirov, B. A. Rakhimov, Isamiddin Sattarovich Turdibaev, R. |
| author_facet | Omirov, B. A. Rakhimov, Isamiddin Sattarovich Turdibaev, R. |
| author_sort | Omirov, B. A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper we describe finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal I generated by squares is isomorphic to the simple Lie algebra sl2. It is shown that the number of isomorphism classes such of Leibniz algebras coincides with the number of partitions of dim I. |
| first_indexed | 2025-11-15T09:05:21Z |
| format | Article |
| id | upm-30179 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:05:21Z |
| publishDate | 2013 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-301792014-09-10T03:15:43Z http://psasir.upm.edu.my/id/eprint/30179/ On description of Leibniz algebras corresponding to sl2 Omirov, B. A. Rakhimov, Isamiddin Sattarovich Turdibaev, R. In this paper we describe finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal I generated by squares is isomorphic to the simple Lie algebra sl2. It is shown that the number of isomorphism classes such of Leibniz algebras coincides with the number of partitions of dim I. Springer Verlag 2013-10 Article PeerReviewed Omirov, B. A. and Rakhimov, Isamiddin Sattarovich and Turdibaev, R. (2013) On description of Leibniz algebras corresponding to sl2. Algebras and Representation Theory, 16 (5). pp. 1507-1519. ISSN 1386-923X; ESSN: 1572-9079 10.1007/s10468-012-9367-x English |
| spellingShingle | Omirov, B. A. Rakhimov, Isamiddin Sattarovich Turdibaev, R. On description of Leibniz algebras corresponding to sl2 |
| title | On description of Leibniz algebras corresponding to sl2 |
| title_full | On description of Leibniz algebras corresponding to sl2 |
| title_fullStr | On description of Leibniz algebras corresponding to sl2 |
| title_full_unstemmed | On description of Leibniz algebras corresponding to sl2 |
| title_short | On description of Leibniz algebras corresponding to sl2 |
| title_sort | on description of leibniz algebras corresponding to sl2 |
| url | http://psasir.upm.edu.my/id/eprint/30179/ http://psasir.upm.edu.my/id/eprint/30179/ |