Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor products of singular representations and an extension of the
  theta-correspondence   In this paper we consider the problem of decomposing tensor products of
certain singular unitary representations of a semisimple Lie group G. Using
explicit models for these representations (constructed earlier by one of us) we
show that the decomposition is controlled by a reductive homogeneous space
G'/H'. Our procedure establishes a correspondence between certain unitary
representations of G and those of G'. This extends the usual
theta--correspondence for dual reductive pairs. As a special case we obtain a
correspondence between certain representations of real forms of E_7 and F_4.

18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics