Invariants of contact Lie algebras Article

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Overview

abstract

• The aim of this work is to prove that any contact Lie algebra has a semi-invariant. We explicitly compute it and give conditions for it to be an invariant of the contact Lie algebra. As a consequence we can prove that any perfect contact Lie algebra has trivial center. Moreover, we prove that a perfect Lie algebra is a contact Lie algebra if, and only if, it has only one invariant. © 2019 Elsevier B.V.

authors

• Salgado González Gil

publication date

• 2019-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: A1-S-45886  Grant

published in

• Journal of Geometry and Physics  Journal

Research

keywords

• Contact Lie algebras; Frobenius Lie algebras; Invariants of Lie algebras

Identity

Digital Object Identifier (DOI)

• 10.1016/j.geomphys.2019.06.014

Additional Document Info

start page

• 388

end page

• 396

volume

• 144