A cohomological approach for classifying nilpotent Leibniz algebras
In this paper a cohomological approach (the Skjelbred-Sund method)to classify nilpotent Leibniz algebras in low dimensional cases will be presented. We distinguish six isomorphism classes (one parametric family and five concrete) of three dimensional nilpotent Leibniz algebras and show that they ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hikari Ltd.
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12659/1/A%20cohomological%20approach%20for%20classifying%20nilpotent%20Leibniz%20algebras.pdf |
| _version_ | 1796968273162534912 |
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| author | Rakhimov , Isamiddin Sattarovich Langari, Seyed Jalal |
| author_facet | Rakhimov , Isamiddin Sattarovich Langari, Seyed Jalal |
| author_sort | Rakhimov , Isamiddin Sattarovich |
| collection | UPM |
| description | In this paper a cohomological approach (the Skjelbred-Sund method)to classify nilpotent Leibniz algebras in low dimensional cases will be presented. We distinguish six isomorphism classes (one parametric family and five concrete) of three dimensional nilpotent Leibniz algebras and
show that they exhaust all possible cases. |
| first_indexed | 2024-03-06T07:26:02Z |
| format | Article |
| id | upm.eprints-12659 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:26:02Z |
| publishDate | 2010 |
| publisher | Hikari Ltd. |
| record_format | dspace |
| spelling | upm.eprints-126592015-11-02T07:18:24Z http://psasir.upm.edu.my/id/eprint/12659/ A cohomological approach for classifying nilpotent Leibniz algebras Rakhimov , Isamiddin Sattarovich Langari, Seyed Jalal In this paper a cohomological approach (the Skjelbred-Sund method)to classify nilpotent Leibniz algebras in low dimensional cases will be presented. We distinguish six isomorphism classes (one parametric family and five concrete) of three dimensional nilpotent Leibniz algebras and show that they exhaust all possible cases. Hikari Ltd. 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12659/1/A%20cohomological%20approach%20for%20classifying%20nilpotent%20Leibniz%20algebras.pdf Rakhimov , Isamiddin Sattarovich and Langari, Seyed Jalal (2010) A cohomological approach for classifying nilpotent Leibniz algebras. International Journal of Algebra, 4 (4). pp. 153-163. ISSN 1312-8868; ESSN: 1314-7595 http://www.m-hikari.com/ija/ija-2010/ija-1-4-2010/rakhimovIJA1-4-2010.pdf |
| spellingShingle | Rakhimov , Isamiddin Sattarovich Langari, Seyed Jalal A cohomological approach for classifying nilpotent Leibniz algebras |
| title | A cohomological approach for classifying nilpotent Leibniz algebras |
| title_full | A cohomological approach for classifying nilpotent Leibniz algebras |
| title_fullStr | A cohomological approach for classifying nilpotent Leibniz algebras |
| title_full_unstemmed | A cohomological approach for classifying nilpotent Leibniz algebras |
| title_short | A cohomological approach for classifying nilpotent Leibniz algebras |
| title_sort | cohomological approach for classifying nilpotent leibniz algebras |
| url | http://psasir.upm.edu.my/id/eprint/12659/1/A%20cohomological%20approach%20for%20classifying%20nilpotent%20Leibniz%20algebras.pdf |
| work_keys_str_mv | AT rakhimovisamiddinsattarovich acohomologicalapproachforclassifyingnilpotentleibnizalgebras AT langariseyedjalal acohomologicalapproachforclassifyingnilpotentleibnizalgebras AT rakhimovisamiddinsattarovich cohomologicalapproachforclassifyingnilpotentleibnizalgebras AT langariseyedjalal cohomologicalapproachforclassifyingnilpotentleibnizalgebras |