On low-dimensional filiform leibniz algebras and their invariants.
The paper deals with the complete classification of a subclass of complex filiform Leibniz algebras in dimensions 5 and 6. This subclass arises from the naturally graded filiform Lie algebras. We give a complete list of algebras. In parametric families cases, the corresponding orbit functions (invar...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Cornell University Library
2011
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/24913/ |
| _version_ | 1848845165523894272 |
|---|---|
| author | Sattarovich, Rakhimov Isamiddin Hassan, Munther A. |
| author_facet | Sattarovich, Rakhimov Isamiddin Hassan, Munther A. |
| author_sort | Sattarovich, Rakhimov Isamiddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The paper deals with the complete classification of a subclass of complex filiform Leibniz algebras in dimensions 5 and 6. This subclass arises from the naturally graded filiform Lie algebras. We give a complete list of algebras. In parametric families cases, the corresponding orbit functions (invariants) are given. In discrete orbits case, we show a representative of the orbits. |
| first_indexed | 2025-11-15T08:42:29Z |
| format | Article |
| id | upm-24913 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:42:29Z |
| publishDate | 2011 |
| publisher | Cornell University Library |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-249132013-08-20T08:42:09Z http://psasir.upm.edu.my/id/eprint/24913/ On low-dimensional filiform leibniz algebras and their invariants. Sattarovich, Rakhimov Isamiddin Hassan, Munther A. The paper deals with the complete classification of a subclass of complex filiform Leibniz algebras in dimensions 5 and 6. This subclass arises from the naturally graded filiform Lie algebras. We give a complete list of algebras. In parametric families cases, the corresponding orbit functions (invariants) are given. In discrete orbits case, we show a representative of the orbits. Cornell University Library 2011 Article PeerReviewed Sattarovich, Rakhimov Isamiddin and Hassan, Munther A. (2011) On low-dimensional filiform leibniz algebras and their invariants. Bulletin of the Malaysian Mathematical Sciences Society, 34 (3). pp. 475-485. ISSN 0126-6705 http://arxiv.org/ English |
| spellingShingle | Sattarovich, Rakhimov Isamiddin Hassan, Munther A. On low-dimensional filiform leibniz algebras and their invariants. |
| title | On low-dimensional filiform leibniz algebras and their invariants. |
| title_full | On low-dimensional filiform leibniz algebras and their invariants. |
| title_fullStr | On low-dimensional filiform leibniz algebras and their invariants. |
| title_full_unstemmed | On low-dimensional filiform leibniz algebras and their invariants. |
| title_short | On low-dimensional filiform leibniz algebras and their invariants. |
| title_sort | on low-dimensional filiform leibniz algebras and their invariants. |
| url | http://psasir.upm.edu.my/id/eprint/24913/ http://psasir.upm.edu.my/id/eprint/24913/ |