Universal deformation rings of modules for algebras of dihedral type of polynomial growth

Abstract

Let k be an algebraically closed field, and let Λ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowroński. We describe all finitely generated Λ-modules V whose stable endomorphism rings are isomorphic to k and determine their universal deformation rings R(Λ,V). We prove that only three isomorphism types occur for R(Λ,V): k, k[[t]]/(t^2) and k[[t]].

11 pages, 2 figures

References in corpus (3)

• Universal deformation rings of modules over Frobenius algebras
• Universal deformation rings and dihedral defect groups
• Inverse Problems for deformation rings

Cited by in corpus (1)

• Deformations of complexes for finite dimensional algebras