  Some methods of the ``unfolded dynamics'' machinery particularly useful for
the analysis of higher spin gauge theories are summarized. A formulation of 4d
conformal higher spin theories in Sp(8) invariant space-time with matrix
coordinates and its extension to Sp(2M) invariant space-times are discussed. A
new result on the global characterizaton of causality of physical events in the
Sp(2M) invariant space-time is announced.
