  The mathematical structure of a mixed paraparticle system (combining both
parabosonic and parafermionic degrees of freedom) commonly known as the
Relative Parabose Set, will be investigated and a braided group structure will
be described for it. A new family of realizations of an arbitrary Lie
superalgebra will be presented and it will be shown that these realizations
possess the valuable representation-theoretic property of transferring
invariably the super-Hopf structure. Finally two classes of virtual
applications will be outlined: The first is of interest for both mathematics
and mathematical physics and deals with the representation theory of infinite
dimensional Lie superalgebras, while the second is of interest in theoretical
physics and has to do with attempts to determine specific classes of solutions
of the Skyrme model.
