CLASSIFICATION OF FIRST CLASS OF COMPLEX FILIFORM LEIBNIZ ALGEBRAS
CLASSIFICATION OF FIRST CLASS 9-DIMENSIONAL COMPLEX FILIFORM LEIBNIZ ALGEBRAS
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Leibniz algebras were introduced by J. -L. Loday. A skew-symmetric Leibniz algebra is a Lie algebra. In this case the Leibniz identity is just the Jacobi identity. This book is devoted to the classification problem of Leibiz algebra in low dimensional cases. There are two sources to get such a classification. The first of them is naturally graded non Lie filiform Leibniz algebras and the other is the naturally graded filiform Lie algebras. Here we consider Leibniz algebras appearing from the naturally graded non Lie filiform Leibniz algebras. It is known that this class of algebras can be split into two subclasses. However, isomorphisms within each class have not been investigated yet. Recently U. D. Bekbaev and I. S. Rakhimov suggested an approach to the isomorphism problem of Leibniz algebras based on algebraic invariants. This book presents an implementation of this invariant approach in 9- dimensional case. We give the list of all 9- dimensional non Lie filiform Leibniz algebras arising from the naturally graded non Lie filiform Leibniz algebras. The isomorphism criteria and the list of algebraic invariants will be given.
Produktdetails
Erscheinungsdatum
25. August 2010
Sprache
englisch
Seitenanzahl
184
Autor/Autorin
SOZAN J. OBAIYS, S. R. Isamiddin, Kamel A. M. Atan
Sozan J. Obaiys, MSc: researcher in the Institute for Mathematical Research, studied Msc in Pure mathematics at Universiti Putra Malaysia from 2007 to 2009, while the BSc in Mathematics from Baghdad University from 1990 to 1994.
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SOZAN J. OBAIYS, S. R. Isamiddin, Kamel A. M. Atan: CLASSIFICATION OF FIRST CLASS OF COMPLEX FILIFORM LEIBNIZ ALGEBRAS bei hugendubel.de. Online bestellen oder in der Filiale abholen.