  The spinor representations of the orthosymplectic Lie superalgebras osp(m|n)
are considered and constructed. These are infinite-dimensional irreducible
representations, of which the superdimension coincides with the dimension of
the spinor representation of so(m-n). Next, we consider the self dual tensor
representations of osp(m|n) and their generalizations: these are also
infinite-dimensional and correspond to the highest irreducible component of the
$p^{th}$ power of the spinor representation. We determine the character of
these representations, and deduce a superdimension formula. From this, it
follows that also for these representations the osp(m|n)~ so(m-n)
correspondence holds.
