  The aim of these notes (which were partially covered in lectures given at the
Peyresq Summer School on 17--22 June, 2002) is to give an introduction to some
mathematical aspects of supersymmetry. Some (hopefully) original point of view
are added, by using and developing some results in arXiv:math-ph/0603045, where
maps of supermanifolds are analyzed in details and, also, in the presentation
of the super Minkowski spaces in dimensions 3, 4, 6 and 10.
