By generalizing the auxiliary field term in the Lagrangian of simplicial chiral models on a (d − 1)–dimensional simplex, the generalized simplicial chiral models has been introduced in [1]. These models can be solved analytically only in d = 0 and d = 2 cases at large–N limit. In d = 0 case, we calculate the eigenvalue density functionin strong regime and show that the partition function computed from this density function is consistent with one calculated by path integration directly. In d = 2 case, it is shown that all V = Tr(AA†)n models have a third order phase transition, same as the 2–dimensional Yang–Mills theory.
