Classification Of Low Dimensional Nilpotent Leibniz Algebras - Langari, Seyed Jalal
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This book is concerned with the classification of low dimensional nilpotent Leibniz algebras by central extensions over complex numbers. Leibniz algebras introduced by J.-L. Loday (1993) are non- antisymmetric generalizations of Lie algebras. There is a cohomology theory for these algebraic objects whose properties are similar to those of the classical Chevalley-Eilenberg cohomology theory for Lie algebras. The central extensions of Lie algebras play a central role in the classification theory of Lie algebras.

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Produktbeschreibung
This book is concerned with the classification of low dimensional nilpotent Leibniz algebras by central extensions over complex numbers. Leibniz algebras introduced by J.-L. Loday (1993) are non- antisymmetric generalizations of Lie algebras. There is a cohomology theory for these algebraic objects whose properties are similar to those of the classical Chevalley-Eilenberg cohomology theory for Lie algebras. The central extensions of Lie algebras play a central role in the classification theory of Lie algebras.
Autorenporträt
He obtained his master degree in pure mathematics (Algebra) in 1997 from Azad University (Mashhad). He received his Ph.D. in pure mathematics Algebra) in July 2010 from University Putra Malaysia (U.P.M). His current research interests include Leibniz algebras.