  We introduce p-1 pseudocharacters in the space of (1,p) model vacuum torus
amplitudes to complete the distinguished basis in the 2p-dimensional fusion
algebra to a basis in the whole (3p-1)-dimensional space of torus amplitudes,
and the structure constants in this basis are integer numbers. We obtain a
generalized Verlinde-formula that gives these structure constants. In the
context of theories with boundaries, we identify the space of vacuum torus
amplitudes with the space of Ishibashi states. Then, we propose 3p-1 boundary
states satisfying the Cardy condition.
