Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexes with the double centraliser property   In representation theory, the double centraliser property is an important
property for a module (bimodule). It plays a fundamental role in many theories.
In this paper, we extend this property to complexes in derived categories of
finite dimensional algebras, under the name derived double centraliser
property. Characterizations for complexes with the derived double centraliser
property and (two-sided) tilting complexes in derived categories of hereditary
algebras are given. In particular, all complexes with this property in the
derived categories of lower triangular matrix algebras are classified.

23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat