Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/244206
Type: Artigo
Title: Conservative algebras of 2-dimensional algebras
Author: Kaygorodov, Ivan
Lopatin, Artem A.
Popov, Yury
Abstract: In 1990 Kantor introduced the conservative algebra W(n) of all algebras (i.e. bilinear maps) on the n-dimensional vector space. In case n > 1 the algebra W(n) does not belong to well-known classes of algebras (such as associative, Lie, Jordan, Leibniz algebras). We describe the algebra of all derivations of W(2) and subalgebras of W(2) of codimension one. We also study similar problems for the algebra W-2 of all commutative algebras on the two-dimensional vector space and the algebra S-2 of all commutative algebras with trace zero multiplication on the two-dimensional space. (C) 2015 Elsevier Inc. All rights reserved.
In 1990 Kantor introduced the conservative algebra W(n) of all algebras (i.e. bilinear maps) on the n-dimensional vector space. In case n > 1 the algebra W(n) does not belong to well-known classes of algebras (such as associative, Lie, Jordan, Leibniz algebras). We describe the algebra of all derivations of W(2) and subalgebras of W(2) of codimension one. We also study similar problems for the algebra W-2 of all commutative algebras on the two-dimensional vector space and the algebra S-2 of all commutative algebras with trace zero multiplication on the two-dimensional space.
Subject: Jordan, Álgebras de
Lie, Álgebra de
Álgebra comutativa
Country: Estados Unidos
Editor: Elsevier
Citation: Conservative Algebras Of 2-dimensional Algebras. Elsevier Science Inc, v. 486, p. 255-274 DEC-2015.
Rights: fechado
Identifier DOI: 10.1016/j.laa.2015.08.011
Address: http://www.sciencedirect.com/science/article/pii/S0024379515004760
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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