abstract

• The aim of this work is to give necessary and sufficient conditions to extend an LSA structure on a Lie algebra hℎ to a Lie algebra g� that either contains hℎ as a subalgebra, or is a central extension of it. We also study conditions under which a Lie algebra together with an LSA structure admit a Frobenius or a contact form. Furthermore, we describe the properties of the Reeb vector associated with the codimension one contact ideal with respect to the LSA structure on the Frobenius Lie algebra.

authors

• Salgado González Gil

publication date

• 2023-01-01

published in

• Communications in Algebra  Journal

keywords

• Contact Lie algebras, Frobenius Lie algebra, left-symmetric algebra structure

Digital Object Identifier (DOI)

• 10.1080/00927872.2023.2173767

PubMed ID

start page

• 2914

end page

• 2929

volume

• 51

issue

• 7