On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras
The article aims to study the classification problem of low-dimensional complex filiform Leibniz algebras. It is known that filiform Leibniz algebras come out from two sources. The first source is a naturally graded non-Lie filiform Leibniz algebra, and another one is a naturally graded filiform Lie...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15902/ http://psasir.upm.edu.my/id/eprint/15902/1/On%20isomorphism%20classes%20and%20invariants%20of%20a%20subclass%20of%20low.pdf |
| _version_ | 1848842809868550144 |
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| author | Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_facet | Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_sort | Rakhimov, Isamiddin Sattarovich |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The article aims to study the classification problem of low-dimensional complex filiform Leibniz algebras. It is known that filiform Leibniz algebras come out from two sources. The first source is a naturally graded non-Lie filiform Leibniz algebra, and another one is a naturally graded filiform Lie algebra. In this article, we classify a subclass of the class of filiform Leibniz algebras appearing from the naturally graded non-Lie filiform Leibniz algebra. We give complete classification and isomorphism criteria in dimensions 5–7. The method of classification is purely algorithmic. The isomorphism criteria are given in terms of invariant functions. |
| first_indexed | 2025-11-15T08:05:02Z |
| format | Article |
| id | upm-15902 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:05:02Z |
| publishDate | 2011 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-159022016-08-30T02:09:48Z http://psasir.upm.edu.my/id/eprint/15902/ On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini The article aims to study the classification problem of low-dimensional complex filiform Leibniz algebras. It is known that filiform Leibniz algebras come out from two sources. The first source is a naturally graded non-Lie filiform Leibniz algebra, and another one is a naturally graded filiform Lie algebra. In this article, we classify a subclass of the class of filiform Leibniz algebras appearing from the naturally graded non-Lie filiform Leibniz algebra. We give complete classification and isomorphism criteria in dimensions 5–7. The method of classification is purely algorithmic. The isomorphism criteria are given in terms of invariant functions. Taylor & Francis 2011-02 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15902/1/On%20isomorphism%20classes%20and%20invariants%20of%20a%20subclass%20of%20low.pdf Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini (2011) On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras. Linear and Multilinear Algebra, 59 (2). pp. 205-220. ISSN 0308-1087; ESSN: 1563-5139 http://www.tandfonline.com/doi/abs/10.1080/03081080903357646 10.1080/03081080903357646 |
| spellingShingle | Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras |
| title | On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras |
| title_full | On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras |
| title_fullStr | On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras |
| title_full_unstemmed | On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras |
| title_short | On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras |
| title_sort | on isomorphism classes and invariants of a subclass of low-dimensional complex filiform leibniz algebras |
| url | http://psasir.upm.edu.my/id/eprint/15902/ http://psasir.upm.edu.my/id/eprint/15902/ http://psasir.upm.edu.my/id/eprint/15902/ http://psasir.upm.edu.my/id/eprint/15902/1/On%20isomorphism%20classes%20and%20invariants%20of%20a%20subclass%20of%20low.pdf |