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 Λ 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 Λ 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).