Algebraic and Hamiltonian methods in the theory of non-Abelian anomalies

The non-Abelian anomalies and the Wess–Zumino action are given a new interpretation in terms of infinitesimal and global cocycles of the representation of the gauge group acting on functionals of Yang–Mills fields. On the basis of this interpretation, two simple methods of nonperturbative calculation of the anomalies and the Wess–Zumino action are proposed.