%0 Journal Article
%T AN INTRODUCTION TO HIGHER CLUSTER
CATEGORIES
%J Bulletin of the Iranian Mathematical Society
%I Springer and the Iranian Mathematical Society (IMS)
%Z 1017-060X
%A BUAN, A.
%D 2011
%\ 07/15/2011
%V 37
%N No. 2
%P 137-157
%! AN INTRODUCTION TO HIGHER CLUSTER
CATEGORIES
%K Cluster categories
%K tilting
%K triangulated categories
%R
%X 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.
%U http://bims.iranjournals.ir/article_329_995a3b87119ae4d18ab2fb1a2224a40c.pdf