AN INTRODUCTION TO HIGHER CLUSTER CATEGORIES

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Abstract:

In this survey, we give an overview over some aspects of the set of tilting objects in an $m-$cluster category, with focus on those properties which are valid for all $m geq 1$. We focus on the following three combinatorial aspects: modeling the set of tilting objects using arcs in certain polygons, the generalized assicahedra of Fomin and Reading, and colored quiver mutation.

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Journal title

volume 37  issue No. 2

pages  137- 157

publication date 2011-07-15

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