Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The image of the derived category in the cluster category   Cluster categories of hereditary algebras have been introduced as orbit
categories of their derived categories. Keller has pointed out that for
non-hereditary algebras orbit categories need not be triangulated, and he
introduced the notion of triangulated hull to overcome this problem. In this
paper we study the image if the natural functor from the bounded derived
category to the cluster category, that is we investigate how far the orbit
category is from being the cluster category. We show that for wide classes of
non-piecewise hereditary algebras the orbit category is never equal to the
cluster category.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph