Duality symmetry of Reggeon interactions in multicolour QCD

The duality symmetry of the Hamiltonian and integrals of motion for Reggeon interactions in multicolour QCD is formulated as an integral equation for the wave function of compound states of $n$ reggeized gluons. In particular the Odderon problem in QCD is reduced to the solution of the one-dimensional Schr\"odinger equation. The Odderon Hamiltonian is written in a normal form, which gives a possibility to express it as a function of its integrals of motion.