Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strict quantum 2-groups   A crossed module is (A,H,d,\la) where d:A\to H is a homomorphism of groups
and H acts on A, with conditions leading to a groupoid A\lcross H{\to\atop
\to}H as an example of a strict 2-group. We give the corresponding notion of a
quantum 2-group where we replace the above by Hopf algebras and introduce a new
version of quantum groupoid. The work also suggests a natural notion of braided
crossed module where A a braided-Hopf algebra in the braided category
Z({}_H\CM) of crossed H-modules, although without the full groupoid picture in
this more general case.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio