Tame concealed algebras and cluster quivers of minimal infinite type

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Buan A. B., Reiten I., Seven A. I.

JOURNAL OF PURE AND APPLIED ALGEBRA, vol.211, no.1, pp.71-82, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 211 Issue: 1
  • Publication Date: 2007
  • Doi Number: 10.1016/j.jpaa.2006.12.007
  • Journal Name: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.71-82
  • Middle East Technical University Affiliated: Yes

Abstract

The well-known list of Happel-Vossieck of tame concealed algebras in terms of quivers with relations, and the list of A. Seven of minimal infinite cluster quivers are compared. There is a 1-1 correspondence between the items in these lists, and we explain how an item in one list naturally corresponds to an item in the other list. A central tool for understanding this correspondence is the theory of cluster-tilted algebras. (c) 2007 Elsevier B.V. All rights reserved.