Let k be a field, and let Λ be a finite dimensional k-algebra. We
prove that if Λ is a self-injective algebra, then every finitely
generated Λ-module V whose stable endomorphism ring is isomorphic to
k has a universal deformation ring R(Λ,V) which is a complete local
commutative Noetherian k-algebra with residue field k. If Λ is also
a Frobenius algebra, we show that R(Λ,V) is stable under taking
syzygies. We investigate a particular Frobenius algebra Λ0 of dihedral
type, as introduced by Erdmann, and we determine R(Λ0,V) for every
finitely generated Λ0-module V whose stable endomorphism ring is
isomorphic to k.Comment: 25 pages, 2 figures. Some typos have been fixed, the outline of the
paper has been changed to improve readabilit