Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The adjoint algebra for 2-categories   For any 0-cell $B$ in a 2-category $\Bc$ we introduce the notion of adjoint
algebra $\adj_B$. This is an algebra in the center of $\Bc$. We prove that, if
$\ca$ is a finite tensor category, this notion applied to the 2-category of
$\ca$-module categories, coincides with the one introduced by Shimizu [Further
results on the structure of (Co)ends in fintite tensor categories}, Appl.
Categor. Struct. (2019). https://doi.org/10.1007/s10485-019-09577-7]. As a
consequence of this general approach, we obtain new results on the adjoint
algebra for tensor categories.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics