Cluster mutation via quiver representations
Representation Theory
2020-12-21 v2 Rings and Algebras
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 theoretical interpretation of cluster mutation in case of acyclic cluster algebras of finite type.
Cite
@article{arxiv.math/0412077,
title = {Cluster mutation via quiver representations},
author = {Aslak Bakke Buan and Bethany Marsh and Idun Reiten},
journal= {arXiv preprint arXiv:math/0412077},
year = {2020}
}
Comments
28 pages, a new Section 2 to correct an error in earlier version