Derived equivalence classification of m-cluster tilted algebras of type A

Details Derived equivalence classification of m-cluster tilted algebras of type A Derived equivalence classification of m-cluster tilted algebras of type A

2008-07-24

arxiv.org/abs/0807.3840v1

Mathematics

Representation Theory

Scientific paper

We use the maximal faces of the $m$-cluster complex of type A to describe the
m-cluster tilted algebras of type A as quivers with relations. We then classify
connected components of m-cluster tilted algebras of type A up to derived
equivalence using tilting complexes directly related to the combinatorics of
the m-cluster complex of type A. This generalizes a result of Buan and Vatne.

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