Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum-Classical Interactions and Galois Type Extensions   An algebraic model for the relation between a certain classical particle
system and the quantum environment is proposed. The quantum environment is
described by the category of possible quantum states. The initial particle
system is represented by an associative algebra in the category of states. The
key new observation is that particle interactions with the quantum environment
can be described in terms of Hopf-Galois theory. This opens up a possibility to
use quantum groups in our model of particle interactions.

7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg