  Main topic of the paper is a study of properties of massless fields of spin
3/2 in its Euclidean version. A lot of information is available already for
massless fields in dimension 4. Here, we concentrate on dimension 6 and we are
using the fact that the group SL(4,C) is isomorphic with the group Spin(6,C).
It makes it possible to use tensor formalism for massless fields. Main problems
treated in the paper are a description of fields which need to be considered in
the spin 3/2 case, a suitable choice of equations they should satisfy,
irreducibility of homogeneous solutions of massless field equations, the
Fischer decomposition and the Howe duality for such fields.
