Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum invariants for decomposition problems in type A rings of
  representations   We prove a combinatorial rule for a complete decomposition, in terms of
Langlands parameters, for representations of p-adic $GL_n$ that appear as
parabolic induction from a large family (ladder representations). Our rule
obviates the need for computation of Kazhdan-Lusztig polynomials in these
cases, and settles a conjecture posed by Lapid.
  These results are transferrable into various type A frameworks, such as the
decomposition of convolution products of homogeneous KLR-algebra modules, or
tensor products of snake modules over quantum affine algebras.
  The method of proof applies a quantization of the problem into a question on
Lusztig's dual canonical basis and its embedding into a quantum shuffle
algebra, while computing numeric invariants which are new to the p-adic
setting.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga