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, cilt.211, sa.1, ss.71-82, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 211 Konu: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jpaa.2006.12.007
  • Dergi Adı: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Sayfa Sayıları: ss.71-82

Özet

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.