Universal Deformation Rings and Quivers of Finite Representation Type

2016/04/03 by Roberto C. Soto, Soto, Roberto C., Daniel J. Wackwitz +1
Mathematics · #16G20 (Primary) 16G60 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1604.00578

openalex publication_date 2016/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let k be a field of arbitrary characteristic and let Q be a quiver of finite representation type. In this paper we prove that if M is an indecomposable kQ-module then the universal deformation ring of M over kQ is isomorphic to k.

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