  Object of investigation are almost hypercomplex manifolds with
Hermitian-Norden metrics of the lowest dimension. The considered manifolds are
constructed on 4-dimensional Lie groups. It is established a relation between
the classes of a classification of 4-dimensional indecomposable real Lie
algebras and the classification of the manifolds under study. The basic
geometrical characteristics of the constructed manifolds are studied in the
frame of the mentioned classification of the Lie algebras.
