  We introduce the spinor representations for osp(m|2n). These generalize the
spinors for so(m) and the symplectic spinors for sp(2n) and correspond to
representations of the supergroup with supergroup pair (Spin(m) x
Mp(2n),osp(m|2n)). We prove that these spinor spaces are uniquely characterized
as the completely pointed osp(m|2n)-modules. Then the tensor product of this
representation with irreducible finite dimensional osp(m|2n)-modules is
studied. Therefore we derive a criterion for complete reducibility of tensor
product representations. We calculate the decomposition into irreducible
osp(m|2n)-representations of the tensor product of the super spinor space with
an extensive class of such representations and also obtain cases where the
tensor product is not completely reducible.
