The local mass is a fundamental quantized information that characterizes the blow-up solution to the Toda system and has a profound relationship with its underlying algebraic structure. In a recent work we have observed that the associated Weyl group can be employed to represent this information for the An, Bn, Cn and G2 type Toda systems. The relationship between the local mass of blow-up solution and the corresponding affine Weyl group is further explored for some affine B type Toda systems, where the possible local masses are explicitly expressed in terms of 8 types. In this talk I shall present a comprehensive study of the general affine A type Toda system with arbitrary rank.
