Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differentiability of quantum moment maps   We study quantum moment maps of $G$-invariant star products, which are a
quantum analogue of the moment map for classical Hamiltonian systems.
Introducing an integral representation, we show that any quantum moment map for
a $G$-invariant star product is differentiable. This property gives us a new
method for the classification of $G$-invariant star products on regular
coadjoint orbits of compact semisimple Lie groups.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg