  The $\mathcal{N}=1$ AdS-Lorentz superalgebra is studied and its relationship
to semigroup expansion developed. Using this mathematical tool, the invariant
tensors and Casimir operators are found. In terms of these invariants, a
three-dimensionnal Chern--Simons supergravity action with AdS-Lorentz symmetry
is constructed. The Killing spinors for a BTZ black-hole like solution of the
theory are discussed.
