Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On tilting modules over cluster-tilted algebras   In this paper, we show that the tilting modules over a cluster-tilted algebra
$A$ lift to tilting objects in the associated cluster category $\mathcal{C}_H$.
As a first application, we describe the induced exchange relation for tilting
$A$-modules arising from the exchange relation for tilting object in
$\mathcal{C}_H$. As a second application, we exhibit tilting $A$-modules having
cluster-tilted endomorphism algebras.

27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an