Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra
In this talk we propose a graphical representation of some classes of Leibniz algebras. With each of algebra from these classes we associate a graph. This assignment enables us to reformulate some structural properties of the Leibniz algebras in terms of some conditions for the graphs. The talk focu...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57665/ http://psasir.upm.edu.my/id/eprint/57665/1/Combinatorial%20structures%20associated%20with%20low%20dimensional%20second%20class%20of%20non-Lie%20filiform%20Leibniz%20algebra.pdf |
| _version_ | 1848853429665923072 |
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| author | Ahmad Jamri, Ayu Ameliatul Shahilah Said Husain, Sharifah Kartini Rakhimov, Isamiddin Sattarovich |
| author_facet | Ahmad Jamri, Ayu Ameliatul Shahilah Said Husain, Sharifah Kartini Rakhimov, Isamiddin Sattarovich |
| author_sort | Ahmad Jamri, Ayu Ameliatul Shahilah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this talk we propose a graphical representation of some classes of Leibniz algebras. With each of algebra from these classes we associate a graph. This assignment enables us to reformulate some structural properties of the Leibniz algebras in terms of some conditions for the graphs. The talk focuses on a so-called filiform Leibniz algebras. It is well-known that this class is split into three subclasses called first, second and third class denoted, in dimension n over a field K, by FLbn(K), SLbn(K) and TLbn(K), respectively. In this article, we concern more on the combinatorial structures associated with SLbn(K) in low-dimensions. |
| first_indexed | 2025-11-15T10:53:50Z |
| format | Conference or Workshop Item |
| id | upm-57665 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:50Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-576652017-10-25T01:37:55Z http://psasir.upm.edu.my/id/eprint/57665/ Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra Ahmad Jamri, Ayu Ameliatul Shahilah Said Husain, Sharifah Kartini Rakhimov, Isamiddin Sattarovich In this talk we propose a graphical representation of some classes of Leibniz algebras. With each of algebra from these classes we associate a graph. This assignment enables us to reformulate some structural properties of the Leibniz algebras in terms of some conditions for the graphs. The talk focuses on a so-called filiform Leibniz algebras. It is well-known that this class is split into three subclasses called first, second and third class denoted, in dimension n over a field K, by FLbn(K), SLbn(K) and TLbn(K), respectively. In this article, we concern more on the combinatorial structures associated with SLbn(K) in low-dimensions. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57665/1/Combinatorial%20structures%20associated%20with%20low%20dimensional%20second%20class%20of%20non-Lie%20filiform%20Leibniz%20algebra.pdf Ahmad Jamri, Ayu Ameliatul Shahilah and Said Husain, Sharifah Kartini and Rakhimov, Isamiddin Sattarovich (2016) Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-8). 10.1063/1.4995834 |
| spellingShingle | Ahmad Jamri, Ayu Ameliatul Shahilah Said Husain, Sharifah Kartini Rakhimov, Isamiddin Sattarovich Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra |
| title | Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra |
| title_full | Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra |
| title_fullStr | Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra |
| title_full_unstemmed | Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra |
| title_short | Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra |
| title_sort | combinatorial structures associated with low dimensional second class of non-lie filiform leibniz algebra |
| url | http://psasir.upm.edu.my/id/eprint/57665/ http://psasir.upm.edu.my/id/eprint/57665/ http://psasir.upm.edu.my/id/eprint/57665/1/Combinatorial%20structures%20associated%20with%20low%20dimensional%20second%20class%20of%20non-Lie%20filiform%20Leibniz%20algebra.pdf |