Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras
The paper concerns the classification problem of a subclass of nilpotent Leibniz algebras. This subclass arises from naturally graded non Lie filiform Leibniz algebras. An invariant-theoretic approach to the classification problem of this subclass has been suggested by Rakhimov and Bekbaev. This app...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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American Institute of Physics
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57286/ http://psasir.upm.edu.my/id/eprint/57286/1/Isomorphism%20classes%20and%20invariants%20for%20a%20subclass%20of%20nine-dimensional%20filiform%20Leibniz%20algebras.pdf |
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| author | Deraman, Fatanah Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_facet | Deraman, Fatanah Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_sort | Deraman, Fatanah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The paper concerns the classification problem of a subclass of nilpotent Leibniz algebras. This subclass arises from naturally graded non Lie filiform Leibniz algebras. An invariant-theoretic approach to the classification problem of this subclass has been suggested by Rakhimov and Bekbaev. This approach provides to solve the problems with minimum difficulty. Implementing this approach, it is given complete list of isomorphism classes for a subclass of filiform Leibniz algebras and appropriate invariants in dimension nine. |
| first_indexed | 2025-11-15T10:52:09Z |
| format | Conference or Workshop Item |
| id | upm-57286 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:09Z |
| publishDate | 2011 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-572862017-09-26T03:58:56Z http://psasir.upm.edu.my/id/eprint/57286/ Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras Deraman, Fatanah Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini The paper concerns the classification problem of a subclass of nilpotent Leibniz algebras. This subclass arises from naturally graded non Lie filiform Leibniz algebras. An invariant-theoretic approach to the classification problem of this subclass has been suggested by Rakhimov and Bekbaev. This approach provides to solve the problems with minimum difficulty. Implementing this approach, it is given complete list of isomorphism classes for a subclass of filiform Leibniz algebras and appropriate invariants in dimension nine. American Institute of Physics 2011 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57286/1/Isomorphism%20classes%20and%20invariants%20for%20a%20subclass%20of%20nine-dimensional%20filiform%20Leibniz%20algebras.pdf Deraman, Fatanah and Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini (2011) Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras. In: 5th International Conference on Research and Education in Mathematics (ICREM5), 22-24 Oct. 2011, Bandung, Indonesia. (pp. 326-331). 10.1063/1.4724162 |
| spellingShingle | Deraman, Fatanah Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras |
| title | Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras |
| title_full | Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras |
| title_fullStr | Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras |
| title_full_unstemmed | Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras |
| title_short | Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras |
| title_sort | isomorphism classes and invariants for a subclass of nine-dimensional filiform leibniz algebras |
| url | http://psasir.upm.edu.my/id/eprint/57286/ http://psasir.upm.edu.my/id/eprint/57286/ http://psasir.upm.edu.my/id/eprint/57286/1/Isomorphism%20classes%20and%20invariants%20for%20a%20subclass%20of%20nine-dimensional%20filiform%20Leibniz%20algebras.pdf |