Enveloping lie algebras of low dimensional leibniz algebras.
We calculate the enveloping Lie algebras of Leibniz algebras of dimensions two and three. We show how these Lie algebras could be used to distinguish non-isomorphic (nilpotent) Leibniz algebras of low dimension in some cases. These results could be used to associate geometric objects (loop spaces) t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Scientific Research Publishing
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24919/ http://psasir.upm.edu.my/id/eprint/24919/1/Enveloping%20lie%20algebras%20of%20low%20dimensional%20leibniz%20algebras.pdf |
| _version_ | 1848845167287599104 |
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| author | Amini, Massoud Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal |
| author_facet | Amini, Massoud Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal |
| author_sort | Amini, Massoud |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We calculate the enveloping Lie algebras of Leibniz algebras of dimensions two and three. We show how these Lie algebras could be used to distinguish non-isomorphic (nilpotent) Leibniz algebras of low dimension in some cases. These results could be used to associate geometric objects (loop spaces) to low dimensional Leibniz algebras. |
| first_indexed | 2025-11-15T08:42:30Z |
| format | Article |
| id | upm-24919 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:30Z |
| publishDate | 2011 |
| publisher | Scientific Research Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-249192015-10-08T07:18:27Z http://psasir.upm.edu.my/id/eprint/24919/ Enveloping lie algebras of low dimensional leibniz algebras. Amini, Massoud Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal We calculate the enveloping Lie algebras of Leibniz algebras of dimensions two and three. We show how these Lie algebras could be used to distinguish non-isomorphic (nilpotent) Leibniz algebras of low dimension in some cases. These results could be used to associate geometric objects (loop spaces) to low dimensional Leibniz algebras. Scientific Research Publishing 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24919/1/Enveloping%20lie%20algebras%20of%20low%20dimensional%20leibniz%20algebras.pdf Amini, Massoud and Sattarovich, Rakhimov Isamiddin and Langari, Seyed Jalal (2011) Enveloping lie algebras of low dimensional leibniz algebras. Applied Mathematics, 2 (8). pp. 1027-1030. ISSN 2152-7385; ESSN:2152-7393 http://www.scirp.org/ 10.4236/am.2011.28142 English |
| spellingShingle | Amini, Massoud Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal Enveloping lie algebras of low dimensional leibniz algebras. |
| title | Enveloping lie algebras of low dimensional leibniz algebras. |
| title_full | Enveloping lie algebras of low dimensional leibniz algebras. |
| title_fullStr | Enveloping lie algebras of low dimensional leibniz algebras. |
| title_full_unstemmed | Enveloping lie algebras of low dimensional leibniz algebras. |
| title_short | Enveloping lie algebras of low dimensional leibniz algebras. |
| title_sort | enveloping lie algebras of low dimensional leibniz algebras. |
| url | http://psasir.upm.edu.my/id/eprint/24919/ http://psasir.upm.edu.my/id/eprint/24919/ http://psasir.upm.edu.my/id/eprint/24919/ http://psasir.upm.edu.my/id/eprint/24919/1/Enveloping%20lie%20algebras%20of%20low%20dimensional%20leibniz%20algebras.pdf |