Abstract
The aim of this work is to give necessary and sufficient conditions to extend an LSA structure on a Lie algebra to a Lie algebra
that either contains
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.
Mathematics Subject Classification: