Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enright resolutions encoded by a generating function for Blattner's
  formula: Type A   Consider the classical action of ${\rm GL}_n$ on a sum of $q$ copies of the
defining representation and $p$ copies of its dual; by Howe duality, the
polynomial functions on this space decompose under the joint action of ${\rm
GL}_n$ and $\mathfrak{gl}_{p+q}$. The modules for $\mathfrak{gl}_{p+q}$ are
infinite-dimensional and their structure is complicated outside a certain
stable range, although Enright and Willenbring (2005) constructed resolutions
in terms of generalized Verma modules. We show that these resolutions can be
read off from the coefficients in a formal series arising in an entirely
different setting: discrete series representations of ${\rm SU}(n,p+q)$ in the
case of two noncompact simple roots.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat