On contractions and invariants of Leibniz algebras.
In this paper, contractions of complex Leibniz algebras are considered. A short summary of the history, relationships of different definitions and comparisons of them are given. We focus on the contractions of three-dimensional case of complex Leibniz algebras. A several contraction invariants that...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
USM Publishing
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24761/ http://psasir.upm.edu.my/id/eprint/24761/1/On%20contractions%20and%20invariants%20of%20Leibniz%20algebras.pdf |
| _version_ | 1848845124673470464 |
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| author | Sattarovich, Rakhimov Isamiddin Mohd Atan, Kamel Ariffin |
| author_facet | Sattarovich, Rakhimov Isamiddin Mohd Atan, Kamel Ariffin |
| author_sort | Sattarovich, Rakhimov Isamiddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, contractions of complex Leibniz algebras are considered. A short summary of the history, relationships of different definitions and comparisons of them are given. We focus on the contractions of three-dimensional case of complex Leibniz algebras. A several contraction invariants that are useful in determining whether one algebra can be obtained as an contraction of another algebra are given.
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| first_indexed | 2025-11-15T08:41:50Z |
| format | Article |
| id | upm-24761 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:41:50Z |
| publishDate | 2012 |
| publisher | USM Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-247612016-02-17T06:35:13Z http://psasir.upm.edu.my/id/eprint/24761/ On contractions and invariants of Leibniz algebras. Sattarovich, Rakhimov Isamiddin Mohd Atan, Kamel Ariffin In this paper, contractions of complex Leibniz algebras are considered. A short summary of the history, relationships of different definitions and comparisons of them are given. We focus on the contractions of three-dimensional case of complex Leibniz algebras. A several contraction invariants that are useful in determining whether one algebra can be obtained as an contraction of another algebra are given. USM Publishing 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24761/1/On%20contractions%20and%20invariants%20of%20Leibniz%20algebras.pdf Sattarovich, Rakhimov Isamiddin and Mohd Atan, Kamel Ariffin (2012) On contractions and invariants of Leibniz algebras. Bulletin of the Malaysian Mathematical Sciences Society, 2 (35). pp. 557-565. ISSN 0126-6705 http://math.usm.my/bulletin English |
| spellingShingle | Sattarovich, Rakhimov Isamiddin Mohd Atan, Kamel Ariffin On contractions and invariants of Leibniz algebras. |
| title | On contractions and invariants of Leibniz algebras. |
| title_full | On contractions and invariants of Leibniz algebras. |
| title_fullStr | On contractions and invariants of Leibniz algebras. |
| title_full_unstemmed | On contractions and invariants of Leibniz algebras. |
| title_short | On contractions and invariants of Leibniz algebras. |
| title_sort | on contractions and invariants of leibniz algebras. |
| url | http://psasir.upm.edu.my/id/eprint/24761/ http://psasir.upm.edu.my/id/eprint/24761/ http://psasir.upm.edu.my/id/eprint/24761/1/On%20contractions%20and%20invariants%20of%20Leibniz%20algebras.pdf |