Coloured quiver mutation for higher cluster categories
Representation Theory
2008-09-20 v3 Combinatorics
Abstract
We define mutation on coloured quivers associated to tilting objects in higher cluster categories. We show that this operation is compatible with the mutation operation on the tilting objects. This gives a combinatorial approach to tilting in higher cluster categories and especially an algorithm to determine the Gabriel quivers of tilting objects in such categories.
Cite
@article{arxiv.0809.0691,
title = {Coloured quiver mutation for higher cluster categories},
author = {Aslak Bakke Buan and Hugh Thomas},
journal= {arXiv preprint arXiv:0809.0691},
year = {2008}
}
Comments
25 pages, added new section