Cluster mutation via quiver representations
by
Aslak Bakke Buan
,
Robert J. Marsh
,
Idun Reiten
| Venue: | Comment. Math. Helv |
| Citations: | 43 - 12 self |
BibTeX
@ARTICLE{Buan_clustermutation,
author = {Aslak Bakke Buan and Robert J. Marsh and Idun Reiten},
title = {Cluster mutation via quiver representations},
journal = {Comment. Math. Helv},
year = {},
pages = {2008}
}
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Abstract
Abstract. Matrix mutation appears in the definition of cluster algebras of Fomin and Zelevinsky. We give a representation theoretic interpretation of matrix mutation, using tilting theory in cluster categories of hereditary algebras. Using this, we obtain a representation theoretic interpretation of cluster mutation in case of acyclic cluster algebras.
