2012/09/02 by Frauke M. Bleher, Shannon N. Talbott
Mathematics · #Algebraic structures and combinatorial models #Endomorphism #Finitely-generated abelian group #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #Polynomial #Polynomial ring #Rings, Modules, and Algebras #Type (biology) #math.RT #msc:16G10 #msc:16G20
paper · pdf · doi:10.1007/s10468-012-9399-2
published as Alg. Represent. Theory 17 (2014), 289-303 · 11 pages, 2 figures
arxiv created 2012/09/02 · openalex publication_date 2013/01/09 · arxiv updated 2014/03/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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]]/(t2) and k[[t]].