Universal deformation rings of modules for algebras of dihedral type of polynomial growth
Abstract
Let k be an algebraically closed field, and let \ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\'nski. We describe all finitely generated -modules V whose stable endomorphism rings are isomorphic to k and determine their universal deformation rings R(,V). We prove that only three isomorphism types occur for R(,V): k, k[[t]]/(t2) and k[[t]].
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