Derived equivalence classification of one-parametric selfinjective algebras

2005/07/04 by Rafał Bocian, Rafal Bocian, Bocian, Rafal +5
Mathematics · Physics and Astronomy · #16D50 #16G10 #16G60 #16G70 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:16D50 #msc:16G10 #msc:16G60 #msc:16G70 #msc:18E30

paper · pdf · doi:10.48550/arxiv.math/0507064

47 pages, 15 figures

arxiv created 2005/07/04 · openalex publication_date 2005/07/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a complete description of the derived equivalence normal forms of all one-parametric selfinjective algebras over algebraically closed fields which admit simply connected Galois coverings. As a consequence, a description of the stable equivalence normal forms of these algebras is also obtained.

Related

• Derived equivalence classification of nonstandard selfinjective algebras of domestic type
• Rigidity of tilting complexes and derived equivalence for self-injective algebras
• Derived equivalence classification of symmetric algebras of domestic type
• Derived equivalences and stable equivalences of Morita type, I
• The liftability question for stable equivalences between representation-finite self-injective algebras