Cluster mutation via quiver representations

Details Cluster mutation via quiver representations Cluster mutation via quiver representations

2004-12-03

arxiv.org/abs/math/0412077v2

Mathematics

Representation Theory

28 pages, a new Section 2 to correct an error in earlier version

Scientific paper

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 theoretical interpretation of cluster
mutation in case of acyclic cluster algebras of finite type.

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