Article ID Journal Published Year Pages File Type
4667358 Advances in Mathematics 2009 25 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)