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Exceptional sequences and clusters
Journal article   Open access   Peer reviewed

Exceptional sequences and clusters

Kiyoshi Igusa and Ralf Schiffler
Journal of algebra, Vol.323(8), pp.2183-2202
04/15/2010

Abstract

Science & Technology Mathematics Physical Sciences
We show that exceptional sequences for hereditary algebras are characterized by the fact that the product of the corresponding reflections is the inverse Coxeter element in the Weyl group. We use this result to give a new combinatorial characterization of clusters tilting sets in the cluster category in the case where the hereditary algebra is of finite type. (C) 2010 Elsevier Inc. All rights reserved.
url
https://doi.org/10.1016/j.jalgebra.2010.02.003View
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