Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extensions of locally compact quantum groups and the bicrossed product
  construction   In the framework of locally compact quantum groups, we study cocycle actions.
We develop the cocycle bicrossed product construction, starting from a matched
pair of locally compact quantum groups. We define exact sequences and establish
a one-to-one correspondence between cocycle bicrossed products and cleft
extensions. In this way, we obtain new examples of locally compact quantum
groups.

25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas