Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphic tensor products and cuspidal cohomology of the ${\rm GL}_4$   In this article, we establish an asymptotic lower bound estimate on the
contribution of cuspidal automorphic representations of ${\rm GL}_4(\mathbb
A_{\mathbb Q})$ to cuspidal cohomology of the ${\rm GL}_4$ which are obtained
from automorphic tensor product of two automorphic representations of ${\rm
GL}_2(\mathbb A_{\mathbb Q})$ of given weights and with varying level
structure. In the end, we also prove that the symmetric cube of a
representation of ${\rm GL}_2$ and the automorphic tensor product of two
representations of ${\rm GL}_2$ can not be equal (up to a twist by a character
of ${\rm GL}_1$) to each other, under the suitable assumptions on the
representations being cuspidal and cohomological.

15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con