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It is shown that in the next-to-leading approximation of N=4 SUSY the BFKLequation for two-gluon composite states in the adjoint representation of thegauge group can be reduced to a form which is invariant under Moebiustransformation in the momentum space. The corresponding similaritytransformation of its integral kernel is constructed in an explicit way.

Moebius invariant BFKL equation for the adjoint representation in N=4 SUSY