  The aim of this paper is to give a classification of real and strongly real
unipotent elements in a classical simple Lie group. To do this we will
introduce an infinitesimal version of the notion of the classical reality in a
Lie group. This notion has been applied to classify real and strongly real
unipotent elements in a classical simple Lie group. Also, the
infinitesimally-real semisimple elements in complex simple classical Lie
algebras are classified.
