Could McKay Correspondence Generalize in TGD Framework?

Abstract

McKay correspondence states that the McKay graphs for the irreducible representations (irreps) of finite subgroups of G subset SU(2) characterizing their fusion algebra is given by extended Dynkin diagram of ADE type Lie group. Minimal conformal models with SU(2) Kac-Moody algebra (KMA) allow a classification by the same diagrams as fusion algebras of primary fields.  The resolution of  the singularities of complex algebraic surfaces in C³ by blowing implies the emergence of complex lines CP₁. The intersection matrix for the CP₁ is Dynkin diagram of ADE type Lie group. These results are highly inspiring concerning adelic TGD.