Classifying tame blocks and related algebras up to stable equivalences of Morita type

  • Guodong Zhou*
  • , Alexander Zimmermann
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We contribute to the classification of finite dimensional algebras under stable equivalence of Morita type. More precisely we give a classification of Erdmann's algebras of dihedral, semi-dihedral and quaternion type and obtain as byproduct the validity of the Auslander-Reiten conjecture for stable equivalences of Morita type between two algebras, one of which is of dihedral, semi-dihedral or quaternion type.

Original languageEnglish
Pages (from-to)2969-2986
Number of pages18
JournalJournal of Pure and Applied Algebra
Volume215
Issue number12
DOIs
StatePublished - Dec 2011
Externally publishedYes

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