Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of the Infinite-Dimensional Affine Group   We introduce an infinite-dimensional affine group and construct its
irreducible unitary representation. Our approach follows the one used by
Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications
made necessary by the fact that the group does not act on the phase space.
However it is possible to define its action on some classes of functions.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th