Derived equivalence classification of m-cluster tilted algebras of type A(n)

作者：Murphy Graham J^*

来源：Journal of Algebra, 2010, 323(4): 920-965.

DOI：10.1016/j.jalgebra.2009.10.004

• m-Cluster tilted algebras
• Derived equivalence

We use the maximal faces of the m-cluster complex of type A(n) introduced in Fomin and Reading (2005) [9] to describe the m-cluster tilted algebras of type A(n) as quivers with relations. We then classify connected components of m-cluster tilted algebras of type A(n) up to derived equivalence using tilting complexes directly related to the combinatorics of the m-cluster complex of type A(n). This generalizes a result of Buan and Vatne (2008) [7].

• 出版日期2010-2-15