Derived equivalence classification for cluster-tilted algebras of type An

By Aslak Bakke Buan, D. Vatne. 2007

88 citations recorded by the source corpus.

Abstract In this paper we give the derived equivalence classification of cluster-tilted algebras of type A n . We show that the bounded derived category of such an algebra depends only on the number of 3-cycles in the quiver of the algebra.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5fcd69d8428e5d81b94f5d75fa67a59bd85f0bc6

How researchers see this paper

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In Algebra and Number Theory

1. Thomas Brustle
2. Gabrielle Charbonneau-Jodoin
3. Ibrahim Assem
4. Pierre-Guy Plamondon
5. B. Keller
6. Sibylle Schroll
7. Hugh Thomas
8. Ralf Schiffler

In Geometry and Topology

1. Thomas Brustle
2. Pierre-Guy Plamondon
3. Gabrielle Charbonneau-Jodoin
4. Ibrahim Assem
5. B. Keller
6. Sibylle Schroll
7. Hugh Thomas
8. Ralf Schiffler

In Statistical and Nonlinear Physics

1. Thomas Brustle
2. Gabrielle Charbonneau-Jodoin
3. Ibrahim Assem
4. Pierre-Guy Plamondon
5. B. Keller
6. Hugh Thomas
7. Lingyan Guo
8. I. Reiten

Citations in the corpus

• Gentle algebras arising from surface triangulations (2009, methodology): “The following proposition is contained in [Buan and Vatne 2008], but it also follows from Theorem 3.”