  In this paper, we consider the versal deformations of three dimensional Lie
algebras. We classify Lie algebras and study their deformations by using linear
algebra techniques to study the cohomology. We will focus on how the
deformations glue the space of all such structures together. This space is
known as the moduli space. We will give a geometric description of this space,
derived from deformation theory, in order to illustrate general features of
moduli spaces of Lie algebras.
