Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A few remarks on the tube algebra of a monoidal category   We prove two results on the tube algebras of rigid C$^*$-tensor categories.
The first is that the tube algebra of the representation category of a compact
quantum group $G$ is a full corner of the Drinfeld double of $G$. As an
application we obtain some information on the structure of the tube algebras of
the Temperley-Lieb categories $TL(d)$ for $d>2$. The second result is that the
tube algebras of weakly Morita equivalent C$^*$-tensor categories are strongly
Morita equivalent. The corresponding linking algebra is described as the tube
algebra of the $2$-category defining the Morita context.

37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an