On universal deformation rings of modules over a certain class of symmetric algebras of finite representation type

2024/06/18 by Jhony F. Caranguay-Mainguez, Caranguay-Mainguez, Jhony F., José A. Vélez-Marulanda +2
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2406.12190

openalex publication_date 2024/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let k be an algebraically closed field. Recently, K. Erdmann classified the symmetric k-algebras Λ of finite representation type such that every non-projective module M has period dividing four. The goal of this paper is to determine the indecomposable modules M over these class of algebras Λ whose stable endomorphism ring is isomorphic to k, and then calculate their corresponding universal deformation rings (in the sense of F. M. Bleher and the third author).

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