Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical bases arising from quantum symmetric pairs   We develop a general theory of canonical bases for quantum symmetric pairs
$(\mathbf{U}, \mathbf{U}^\imath)$ with parameters of arbitrary finite type. We
construct new canonical bases for the simple integrable $\mathbf{U}$-modules
and their tensor products regarded as $\mathbf{U}^\imath$-modules. We also
construct a canonical basis for the modified form of the $\imath$quantum group
$\mathbf{U}^\imath$. To that end, we establish several new structural results
on quantum symmetric pairs, such as bilinear forms, braid group actions,
integral forms, Levi subalgebras (of real rank one), and integrality of the
intertwiners.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th