Cluster algebras as Hall algebras of quiver representations

• Autores: Philippe Caldero
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 81, Nº 3, 2006, págs. 595-616
• Idioma: inglés
• DOI: 10.4171/cmh/65
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• Resumen

  • Recent articles have shown the connection between representation theory of quivers and the theory of cluster algebras. In this article, we prove that some cluster algebras of type A-D-E can be recovered from the data of the corresponding quiver representation category. This also provides some explicit formulas for cluster variables