Three kinds of mutation
Representation Theory
2010-05-04 v1 Rings and Algebras
Abstract
For a finite dimensional hereditary algebra, we consider: exceptional sequences in the category of finite dimensional modules, silting objects in the bounded derived category, and m-cluster tilting objects in the m-cluster category. There are mutation operations on both the set of m-cluster tilting objects and the set of exceptional sequences. It is also possible to define a mutation operation for silting objects. We compare these three different notions of mutation.
Cite
@article{arxiv.1005.0276,
title = {Three kinds of mutation},
author = {Aslak Bakke Buan and Idun Reiten and Hugh Thomas},
journal= {arXiv preprint arXiv:1005.0276},
year = {2010}
}
Comments
19 pages