Classification of three dimensional complex Leibniz algebras

Autor:	Isamiddin S. Rakhimov, I. M. Rikhsiboev
Rok vydání:	2012
Předmět:	Algebra Pure mathematics Linear algebra Lie algebra Non-associative algebra Redundancy (engineering) Differential algebra Nest algebra Isomorphism Mathematics
Zdroj:	AIP Conference Proceedings.
ISSN:	0094-243X
DOI:	10.1063/1.4724168
Popis:	The aim of this paper is to complete the classification of three-dimensional complex Leibniz algebras. The description of isomorphism classes of three-dimensional complex Leibniz algebras has been given by Ayupov and Omirov in 1999. However, we found that this list has a little redundancy. In this paper we apply a method which is more elegant and it gives the precise list of isomorphism classes of these algebras. We compare our list with that of Ayupov-Omirov and show the corrections which should be made.
Databáze:	OpenAIRE
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