5-dimensional indecomposable contact Lie algebras as double extensions Article

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Overview

abstract

• In this work we shall show that a suitable double extension of a finite dimensional indecomposable contact Lie algebra is a contact Lie algebra again. In particular, with exception of the family of 5-dimensional indecomposable contact solvable Lie algebras A5,35, any 5-dimensional indecomposable contact solvable Lie algebra can be obtained as a double extension of a 3-dimensional Lie algebra. The family A5,35 can be generalized to a family of (4n%2b1)-dimensional indecomposable contact solvable Lie algebras that cannot be obtained neither as a suspension of a symplectic Lie algebra of codimension 1 or as a double extension of a contact Lie subalgebra of codimension 2. © 2015 Elsevier B.V..

authors

• Rodríguez Vallarte María del Carmen
• Salgado González Gil

publication date

• 2016-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: 222870, 154340  Grant
• UASLP-CA-228  Grant

published in

• Journal of Geometry and Physics  Journal

Research

keywords

• Contact Lie algebras; Double extension of Lie algebras; Indecomposable Lie algebras; Primary; Secondary

Identity

Digital Object Identifier (DOI)

• 10.1016/j.geomphys.2015.10.014

Additional Document Info

start page

• 20

end page

• 32

volume

• 100