  An integrated approach to Lie derivatives of spinors, spinor connections and
the gravitational field is presented, in the context of a previously proposed,
partly original formulation of a theory of Einstein-Carta-Maxwell-Dirac fields
based on "minimal geometric data": all the needed underlying structure is
geometrically constructed from the unique assumption of a complex vector field
$S\to M$ with 2-dimensional fibers. The Lie derivatives of objects of all
considered types, with respect to a vector field $X:M\to TM$, are well-defined
without making any special assumption about $X$, and fulfill natural mutual
relations.
