Auslander-Reiten theory for modules of finite complexity over self-injective algebras

Otto Kerner, Dan Zacharia

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

In this paper, we describe the shapes of the stable components containing modules with finite complexity over a self-injective finite-dimensional algebra over an algebraically closed field. We prove that the associated orbit graph of each such component is either a Dynkin diagram (finite or infinite), or an extended Dynkin diagram.

Original languageEnglish (US)
Pages (from-to)44-56
Number of pages13
JournalBulletin of the London Mathematical Society
Volume43
Issue number1
DOIs
StatePublished - Feb 2011

ASJC Scopus subject areas

  • Mathematics(all)

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