Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Models for the irreducible representation of a Heisenberg group   In its most general formulation a quantum kinematical system is described by
a Heisenberg group; the "configuration space" in this case corresponds to a
maximal isotropic subgroup. We study irreducible models for Heisenberg groups
based on compact maximal isotropic subgroups. It is shown that if the
Heisenberg group is 2-regular, but the subgroup is not, the "vacuum sector" of
the irreducible representation exhibits a fermionic structure. This will be the
case, for instance, in a quantum mechanical model based on the 2-adic numbers
with a suitably chosen isotropic subgroup. The formulation in terms of
Heisenberg groups allows a uniform treatment of p-adic quantum systems for all
primes p, and includes the possibility of treating adelic systems.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat