Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characters of irreducible unitary representations of $U(n, n+1)$ via
  double lifting from $U(1)$   In this paper, we obtained character formulas of irreducible unitary
representations of $U(n, n+1)$ by using Howe's correspondence and the
Cauchy--Harish-Chandra integral. The representations of $U(n, n+1)$ we are
dealing with are obtained from a double lifting of a representation of $U(1)$
via the dual pairs $(U(1), U(1, 1))$ and $(U(1, 1), U(n, n+1))$.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg