Combinatorial structures associated with some classes of Leibniz algebras
This paper gives a graphical representation of a subclass of complex filiform Leibniz algebras. This class is split into three subclasses called first, second and third class denoted, in dimension n over a field of complex numbers ℂ, by FLbn(ℂ), SLbn(ℂ) and TLbn(ℂ), respectively. Here, the combinato...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57526/ http://psasir.upm.edu.my/id/eprint/57526/1/Combinatorial%20structures%20associated%20with%20some%20classes%20of%20Leibniz%20algebras.pdf |
| _version_ | 1848853391713763328 |
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| author | Said Husain, Sharifah Kartini Ahmad Jamri, Ayu Ameliatul Shahilah Rakhimov, Isamiddin Sattarovich |
| author_facet | Said Husain, Sharifah Kartini Ahmad Jamri, Ayu Ameliatul Shahilah Rakhimov, Isamiddin Sattarovich |
| author_sort | Said Husain, Sharifah Kartini |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper gives a graphical representation of a subclass of complex filiform Leibniz algebras. This class is split into three subclasses called first, second and third class denoted, in dimension n over a field of complex numbers ℂ, by FLbn(ℂ), SLbn(ℂ) and TLbn(ℂ), respectively. Here, the combinatorial structures associated with FLbn(ℂ) and SLbn(ℂ) in low dimensions are considered and some structural properties of the combinatorial structures are given. |
| first_indexed | 2025-11-15T10:53:14Z |
| format | Conference or Workshop Item |
| id | upm-57526 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:14Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-575262017-10-24T03:15:55Z http://psasir.upm.edu.my/id/eprint/57526/ Combinatorial structures associated with some classes of Leibniz algebras Said Husain, Sharifah Kartini Ahmad Jamri, Ayu Ameliatul Shahilah Rakhimov, Isamiddin Sattarovich This paper gives a graphical representation of a subclass of complex filiform Leibniz algebras. This class is split into three subclasses called first, second and third class denoted, in dimension n over a field of complex numbers ℂ, by FLbn(ℂ), SLbn(ℂ) and TLbn(ℂ), respectively. Here, the combinatorial structures associated with FLbn(ℂ) and SLbn(ℂ) in low dimensions are considered and some structural properties of the combinatorial structures are given. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57526/1/Combinatorial%20structures%20associated%20with%20some%20classes%20of%20Leibniz%20algebras.pdf Said Husain, Sharifah Kartini and Ahmad Jamri, Ayu Ameliatul Shahilah and Rakhimov, Isamiddin Sattarovich (2016) Combinatorial structures associated with some classes of Leibniz algebras. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8). 10.1063/1.4972167 |
| spellingShingle | Said Husain, Sharifah Kartini Ahmad Jamri, Ayu Ameliatul Shahilah Rakhimov, Isamiddin Sattarovich Combinatorial structures associated with some classes of Leibniz algebras |
| title | Combinatorial structures associated with some classes of Leibniz algebras |
| title_full | Combinatorial structures associated with some classes of Leibniz algebras |
| title_fullStr | Combinatorial structures associated with some classes of Leibniz algebras |
| title_full_unstemmed | Combinatorial structures associated with some classes of Leibniz algebras |
| title_short | Combinatorial structures associated with some classes of Leibniz algebras |
| title_sort | combinatorial structures associated with some classes of leibniz algebras |
| url | http://psasir.upm.edu.my/id/eprint/57526/ http://psasir.upm.edu.my/id/eprint/57526/ http://psasir.upm.edu.my/id/eprint/57526/1/Combinatorial%20structures%20associated%20with%20some%20classes%20of%20Leibniz%20algebras.pdf |