Minimal quantization of two-dimensional models with chiral anomalies

In the present paper an approach to the quantization of anomalous two-dimensional gauge models is developed. It is based on the explicit solution of the constraint equations and controls the gauge invariance at each stage. The paper presents a brief review of the minimal quantization method of gauge theories. The ''left-handed'' GED1+1 and the chiral Schwinger model are considered. A table of the anomalous commutators in D=2 is given in the Appendix