Derived equivalence classification for cluster-tilted algebras of type A_n

2007/01/22 by Aslak Bakke Buan, Buan, Aslak Bakke, Dagfinn F. Vatne +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.math/0701612

Abstract

In this paper we give the derived equivalence classification of cluster-tilted algebras of type An. 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.

Citations

• Cluster-tilted algebras as trivial extensions

Cited by

• An explicit description of the colored mutation class of \widetilde\mathbbA_n-quivers
• Examples of tilting-discrete symmetric algebras

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