ON THE SUPERSYMMETRIC BKP HIERARCHY

We prove that the supersymmetric BKP-hierarchy of Yu (SBKP2) is hamiltonian with respect to a nonlinear extension of the N = 1 super-Virasoro algebra (W(SBKP)) by fields of spin k, where k > 3/2 and 2k = 0,3 (mod 4). Moreover, we show how to associate in a similar manner an N = 1 W-superalgebra with every integrable hierarchy of the SKdV-type. We also show using dressing transformations how to extend, in a way which is compatible with the hamiltonian structure, the SBKP2 hierarchy by odd flows, as well as the equivalence of this extended hierarchy to the SBKP-hierarchy of Manin-Radul.