Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branching Laws for Some Unitary Representations of SL(4,R)   In this paper we consider the restriction of a unitary irreducible
representation of type $A_{\mathfrak q}(\lambda)$ of $GL(4,{\mathbb R})$ to
reductive subgroups $H$ which are the fixpoint sets of an involution. We obtain
a formula for the restriction to the symplectic group and to $GL(2,{\mathbb
C})$, and as an application we construct in the last section some
representations in the cuspidal spectrum of the symplectic and the complex
general linear group. In addition to working directly with the cohmologically
induced module to obtain the branching law, we also introduce the useful
concept of pseudo dual pairs of subgroups in a reductive Lie group.

9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an