Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some representations of degenerate affine Hecke algebras of type
  $BC_{n}$   Let G=U(p,q) and K=U(p)xU(q). In arXiv:0801.1530, the authors construct a
functor from the category of Harish-Chandra modules for the pair (G,K) to the
category of representations of the degenerate affine Hecke algebra of type B_n.
In this paper, we study the image of the principal series modules of G under
this functor. We describe the dAHA module structure of the image by
constructing a family of common eigenvectors of {y_i}. In the rank 1 case, we
write down an explicit formula for the generator y_{1} in terms of central
elements of U(g) and calculate the eigenvalue of y_{1} by using the central
characters.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio