On lie-like filiform Leibniz algebras.
In this paper we propose an approach to classifying a subclass of filiform Leibniz algebras. This subclass arises from the naturally graded filiform Lie algebras. We reconcile and simplify the structure constants of such a class. In the arbitrary fixed dimension case an effective algorithm to cont...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Australian Mathematical Society
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15903/ |
| _version_ | 1848842810206191616 |
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| author | Omirov, B. A. Sattarovich, Rakhimov Isamiddin |
| author_facet | Omirov, B. A. Sattarovich, Rakhimov Isamiddin |
| author_sort | Omirov, B. A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper we propose an approach to classifying a subclass of filiform Leibniz algebras. This subclass
arises from the naturally graded filiform Lie algebras. We reconcile and simplify the structure constants
of such a class. In the arbitrary fixed dimension case an effective algorithm to control the behavior of the
structure constants under adapted transformations of basis is presented. In one particular case, the precise
formulas for less than 10 dimensions are given. We provide a computer program in Maple that can be
used in computations as well. |
| first_indexed | 2025-11-15T08:05:03Z |
| format | Article |
| id | upm-15903 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:05:03Z |
| publishDate | 2009 |
| publisher | Australian Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-159032013-10-16T03:31:41Z http://psasir.upm.edu.my/id/eprint/15903/ On lie-like filiform Leibniz algebras. Omirov, B. A. Sattarovich, Rakhimov Isamiddin In this paper we propose an approach to classifying a subclass of filiform Leibniz algebras. This subclass arises from the naturally graded filiform Lie algebras. We reconcile and simplify the structure constants of such a class. In the arbitrary fixed dimension case an effective algorithm to control the behavior of the structure constants under adapted transformations of basis is presented. In one particular case, the precise formulas for less than 10 dimensions are given. We provide a computer program in Maple that can be used in computations as well. Australian Mathematical Society 2009 Article PeerReviewed Omirov, B. A. and Sattarovich, Rakhimov Isamiddin (2009) On lie-like filiform Leibniz algebras. Bulletin of the Australian Mathematical Society, 79 (-). pp. 391-404. ISSN 0004-9727 10.1017/S000497270900001X English |
| spellingShingle | Omirov, B. A. Sattarovich, Rakhimov Isamiddin On lie-like filiform Leibniz algebras. |
| title | On lie-like filiform Leibniz algebras. |
| title_full | On lie-like filiform Leibniz algebras. |
| title_fullStr | On lie-like filiform Leibniz algebras. |
| title_full_unstemmed | On lie-like filiform Leibniz algebras. |
| title_short | On lie-like filiform Leibniz algebras. |
| title_sort | on lie-like filiform leibniz algebras. |
| url | http://psasir.upm.edu.my/id/eprint/15903/ http://psasir.upm.edu.my/id/eprint/15903/ |