TY - JOUR
ID - 329
TI - AN INTRODUCTION TO HIGHER CLUSTER
CATEGORIES
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - BUAN, A.
AD -
Y1 - 2011
PY - 2011
VL - 37
IS - No. 2
SP - 137
EP - 157
KW - Cluster categories
KW - tilting
KW - triangulated categories
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_329.html
L1 - http://bims.iranjournals.ir/article_329_995a3b87119ae4d18ab2fb1a2224a40c.pdf
ER -