On one-dimensional Leibniz central extension of a filiform lie algebra.
The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra. We choose a basis with respect to which the multiplication table has a simple form. In low-dimensional cases isomorphism classes of the central extensions are given. In the case of parametric families of...
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| Format: | Article |
| Language: | English |
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Cambridge University Press (CUP)
2011
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| _version_ | 1825925671257374720 |
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| author | Sattarovich, Rakhimov Isamiddin Hassan, Munther A. |
| author_facet | Sattarovich, Rakhimov Isamiddin Hassan, Munther A. |
| author_sort | Sattarovich, Rakhimov Isamiddin |
| collection | UPM |
| description | The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra. We choose a basis with respect to which the multiplication table has a simple form. In low-dimensional cases isomorphism classes of the central extensions are given. In the case of parametric families of orbits, invariant functions (orbit functions) are provided. |
| first_indexed | 2024-03-06T08:01:17Z |
| format | Article |
| id | upm.eprints-24921 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:01:17Z |
| publishDate | 2011 |
| publisher | Cambridge University Press (CUP) |
| record_format | dspace |
| spelling | upm.eprints-249212013-08-20T04:44:45Z http://psasir.upm.edu.my/id/eprint/24921/ On one-dimensional Leibniz central extension of a filiform lie algebra. Sattarovich, Rakhimov Isamiddin Hassan, Munther A. The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra. We choose a basis with respect to which the multiplication table has a simple form. In low-dimensional cases isomorphism classes of the central extensions are given. In the case of parametric families of orbits, invariant functions (orbit functions) are provided. Cambridge University Press (CUP) 2011 Article PeerReviewed Sattarovich, Rakhimov Isamiddin and Hassan, Munther A. (2011) On one-dimensional Leibniz central extension of a filiform lie algebra. Bulletin of the Australian Mathematical Society, 84 (3). pp. 205-224. ISSN 0004-9727; ESSN:1755-1633 http://www.cambridge.org/ 10.1017/S0004972711002371 English |
| spellingShingle | Sattarovich, Rakhimov Isamiddin Hassan, Munther A. On one-dimensional Leibniz central extension of a filiform lie algebra. |
| title | On one-dimensional Leibniz central extension of a filiform lie algebra. |
| title_full | On one-dimensional Leibniz central extension of a filiform lie algebra. |
| title_fullStr | On one-dimensional Leibniz central extension of a filiform lie algebra. |
| title_full_unstemmed | On one-dimensional Leibniz central extension of a filiform lie algebra. |
| title_short | On one-dimensional Leibniz central extension of a filiform lie algebra. |
| title_sort | on one dimensional leibniz central extension of a filiform lie algebra |
| work_keys_str_mv | AT sattarovichrakhimovisamiddin ononedimensionalleibnizcentralextensionofafiliformliealgebra AT hassanmunthera ononedimensionalleibnizcentralextensionofafiliformliealgebra |