Citation
Abdulkareem, Abdulafeez Olalekan and Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini
(2013)
Rigidity of some classes of Lie algebras in connection to Leibniz algebras.
In: 21st National Symposium on Mathematical Sciences (SKSM21), 6-8 Nov. 2013, Penang, Malaysia. (pp. 702-707).
Abstract
In this paper we focus on algebraic aspects of contractions of Lie and Leibniz algebras. The rigidity of algebras plays an important role in the study of their varieties. The rigid algebras generate the irreducible components of this variety. We deal with Leibniz algebras which are generalizations of Lie algebras. In Lie algebras case, there are different kind of rigidities (rigidity, absolutely rigidity, geometric rigidity, e.t.c.). We explore the relations of these rigidities with Leibniz algebra rigidity. Necessary conditions for a Lie algebra to be Leibniz rigid are discussed.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4887675 |
| Publisher: | AIP Publishing LLC |
| Keywords: | Contraction and degeneration; Degeneration invariants; Rigid algebras; Zariski closure |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 12 Oct 2016 03:47 |
| Last Modified: | 12 Oct 2016 03:47 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4887675 |
| URI: | http://psasir.upm.edu.my/id/eprint/35278 |
| Statistic Details: | View Download Statistic |
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