2012/05/23 by Nicole Snashall, Snashall, Nicole, Rachel Taillefer +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Coxeter group #Equivalence (formal languages) #FOS: Mathematics #Geology #Homotopy and Cohomology in Algebraic Topology #Indecomposable module #Jordan algebra #K-Theory and Homology (math.KT) #Mathematics #Nonlinear Waves and Solitons #Projective test #Pure mathematics #Quiver #Representation Theory (math.RT) #Triple system #math.KT #math.RT
paper · pdf · doi:10.48550/arxiv.1205.5119
Changes in the third (this) version: One reference has been added. Paper to appear in the Proceedings of the Edinburgh Mathematical Society. Changes in the second version: The classification up to stable equivalence of Morita type has been added and a few references added
openalex publication_date 2012/05/23 · arxiv created 2013/10/10 · arxiv updated 2013/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a natural generalisation of symmetric Nakayama algebras, namely, symmetric special biserial algebras with at most one non-uniserial indecomposable projective module. We describe the basic algebras explicitly by quiver and relations, then classify them up to derived equivalence and up to stable equivalence of Morita type. This includes the algebras of [Bocian-Holm-Skowroński, J. Pure Appl. Algebra 2004], where they study the weakly symmetric algebras of Euclidean type, as well as some algebras of dihedral type.