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Rigidity of some classes of Lie algebras in connection to Leibniz algebras

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 o...

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Main Authors: Abdulkareem, Abdulafeez Olalekan, Rakhimov, Isamiddin Sattarovich, Said Husain, Sharifah Kartini
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/35278/1/Rigidity%20of%20some%20classes%20of%20Lie%20algebras%20in%20connection%20to%20Leibniz%20algebras.pdf
http://psasir.upm.edu.my/id/eprint/35278/
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spelling my.upm.eprints.352782016-10-12T03:47:05Z http://psasir.upm.edu.my/id/eprint/35278/ Rigidity of some classes of Lie algebras in connection to Leibniz algebras Abdulkareem, Abdulafeez Olalekan Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini 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. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/35278/1/Rigidity%20of%20some%20classes%20of%20Lie%20algebras%20in%20connection%20to%20Leibniz%20algebras.pdf 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). 10.1063/1.4887675
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Conference or Workshop Item
author Abdulkareem, Abdulafeez Olalekan
Rakhimov, Isamiddin Sattarovich
Said Husain, Sharifah Kartini
spellingShingle Abdulkareem, Abdulafeez Olalekan
Rakhimov, Isamiddin Sattarovich
Said Husain, Sharifah Kartini
Rigidity of some classes of Lie algebras in connection to Leibniz algebras
author_facet Abdulkareem, Abdulafeez Olalekan
Rakhimov, Isamiddin Sattarovich
Said Husain, Sharifah Kartini
author_sort Abdulkareem, Abdulafeez Olalekan
title Rigidity of some classes of Lie algebras in connection to Leibniz algebras
title_short Rigidity of some classes of Lie algebras in connection to Leibniz algebras
title_full Rigidity of some classes of Lie algebras in connection to Leibniz algebras
title_fullStr Rigidity of some classes of Lie algebras in connection to Leibniz algebras
title_full_unstemmed Rigidity of some classes of Lie algebras in connection to Leibniz algebras
title_sort rigidity of some classes of lie algebras in connection to leibniz algebras
publisher AIP Publishing LLC
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/35278/1/Rigidity%20of%20some%20classes%20of%20Lie%20algebras%20in%20connection%20to%20Leibniz%20algebras.pdf
http://psasir.upm.edu.my/id/eprint/35278/
_version_ 1643831406088945664
score 13.211869

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