Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The canonical basis and the quantum Frobenius morphism   The first goal of this paper is to study the amount of compatibility between
two important constructions in the theory of quantized enveloping algebras,
namely the canonical basis and the quantum Frobenius morphism. The second goal
is to study orders with which the Kashiwara crystal B(infinity) of a
symmetrizable Kac-Moody algebra can be endowed; these orders are defined so
that the transition matrices between bases naturally indexed by B(infinity) are
lower triangular.

34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin