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Comment: 17 pages, 9 figures; v2 references with comments added; v3 two references added, JHEP version
Comment: 1+15 pages, 2 figures; v2: reference added, to appear in JHEP
Comment: 5 pages, to appear in Int. J. Mod. Phys. A
Comment: LaTeX file, 18 pages, minor corrections, accepted by Nuclear Physics B
Comment: 7 pages, 2 eps figures. Some comments and references added. Miss types are fixed. Journal-ref is added
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.
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