Lisa Lamberti
Published 2014-03-03, updated 2014-11-25Version 3
In this paper we give a geometric-combinatorial description of the cluster categories of type E. In particular, we give an explicit geometric description of all cluster tilting objects in the cluster category of type E_6. The model we propose here arises from combining two polygons, and it generalises the description of the cluster category of type A and D.
Comments: Following the suggestion of the referee we significantely extended Section 3, 4 and 6. To appear in the Journal of Algebraic Combinatorics
A geometric description of $m$-cluster categories
The cluster category of a canonical algebra
A geometric realization of the $m$-cluster category of type $\tilde{A}$
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