Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphic Forms, Cohomology and CAP Representations. The Case $GL_2$
  over a definite quaternion algebra   In this paper we fully describe the cuspidal and the Eisenstein cohomology of
the group $G=GL_2$ over a definite quaternion algebra $D/\Q$. Functoriality is
used to show the existence of residual and cuspidal automorphic forms, having
cohomology in degree 1. The latter ones turn out to be CAP-representations,
though $G$ satisfies Strong Multiplicity One. A non-vanishing result on
intertwining operators of induced representations will serve as a starting
point for further investigations concerning rationality of critical $L$-values.

0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg