Tame concealed algebras and cluster quivers of minimal infinite type

• Autores: Aslak Bakke Buan, Idun Reiten, Ahmet I. Seven
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 211, Nº 1, 2007, págs. 71-82
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2006.12.007
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• Resumen

  • 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.