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Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra

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.

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Abstract

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.

Item Type:Conference or Workshop Item (Paper)
Keyword:Leibniz algebras; Filiform Leibniz algebras; Graph theory
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:AIP Publishing
DOI Number:10.1063/1.4995834
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995834
ID Code:57665
Deposited By: Nabilah Mustapa
Deposited On:25 Oct 2017 09:37
Last Modified:25 Oct 2017 09:37

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