  The conformal crossing equation puts very stringent constraints on the
conformal data. We formulate it in way that makes the conformal symmetry more
transparent. This allows for generalization of the crossing equation to
arbitrary Lie group G. Using the crossing equation for SU(2) as a toy model, we
find infinitely many solutions to the G-crossing equation. In particular, when
G is specialized to the conformal group SO(d+1,1), we get infinitely many
solutions to the conformal crossing equation.
