Coloured quiver mutation for higher cluster categories

Details Coloured quiver mutation for higher cluster categories Coloured quiver mutation for higher cluster categories

2008-09-03

arxiv.org/abs/0809.0691v3

Mathematics

Representation Theory

25 pages, added new section

Scientific paper

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.

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