  In some CFT models of simple current type, which are used to describe string
theory on orbifolds and (adjoint) cosets of Lie groups, there arise fixed
points of the simple current group. In these cases, the standard procedure to
associate functions to Ishibashi states by averaging out the action of the
simple current group, gives functions with unsatisfactory properties. In some
cases the averaged Ishibashi function simply vanishes, which we see explicitly
in SO(3) at level k=4l+2. In this note, an alternative function assignment is
suggested, and it is shown that in some cases the resulting Ishibashi functions
are orthogonal.
