On universal deformation rings of modules over a certain class of symmetric algebras of finite representation type

Let k be an algebraically closed field. Recently, K. Erdmann classified the symmetric k-algebras of finite representation type such that every non-projective module M has period dividing four. The goal of this paper is to determine the indecomposable modules M over these class of algebras whose stable endomorphism ring is isomorphic to k, and then calculate their corresponding universal deformation rings (in the sense of F. M. Bleher and the third author).