Derived equivalence classification of nonstandard selfinjective algebras of domestic type

2005/07/21 by Rafał Bocian, Rafal Bocian, Bocian, Rafal +5
Mathematics · #16D50 #16G10 #16G60 #16G70 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT #msc:16D50 #msc:16G10 #msc:16G60 #msc:16G70 #msc:18E30

paper · pdf · doi:10.48550/arxiv.math/0507433

13 pages, 7 figures

arxiv created 2005/07/21 · openalex publication_date 2005/07/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a complete derived equivalence classification of all nonstandard representation-infinite domestic selfinjective algebras over an algebraically closed field. As a consequence, also a complete stable equivalence classification of these algebras is obtained.

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