Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exotic galilean symmetry in the non-commutative plane, and the Hall
  effect   Quantum Mechanics in the non-commutative plane is shown to admit the
``exotic'' symmetry of the doubly-centrally-extended Galilei group. When
coupled to a planar magnetic field whose strength is the inverse of the
non-commutative parameter, the system becomes singular, and ``Faddeev-Jackiw''
reduction yields the ``Chern-Simons'' mechanics of Dunne, Jackiw, and
Trugenberger. The reduced system moves according to the Hall law.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an