Deformation of Leibniz algebra morphisms
type: Item
instance of: scholarly article
title: Deformation of Leibniz algebra morphisms
zbMATH Open document ID: 1162.17002
author: Ashis Mandal
published in: Homology, Homotopy and Applications
publication date: 2007-03-30T00:00:00Z
full work available at URL: n1
review text: The aim of the paper is to study an algebraic deformation theory for Leibniz algebra morphisms. For this, the deformation complex of a Leibniz algebra morphism is introduced. The analogues of the basic notions of deformation theory of the algebraic structures and the associated morphisms, originally due to Gerstenhaber, are described in the frame of Leibniz algebras morphisms. For example, equivalent deformations and rigidity are studied. Finally, the problem of realizing a 2-cocylce as the infinitesimal of a deformation is considered.
reviewed by: Cristodor-Paul Ionescu
Mathematics Subject Classification ID: 17A32
zbMATH DE Number: 5139413
zbMATH Keywords: Leibniz algebra morphism
zbMATH Keywords: formal deformation
zbMATH Keywords: cohomology
MaRDI profile type: Publication
Wikidata QID: Q123352167
DOI: 10.4310/HHA.2007.V9.N1.A17
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description: scientific article; zbMATH DE number 5139413