Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: {Twisted Poincar\'e Series and Geometric Factorization of Affine Weyl
  Groups   We study the relation between the alternating product of twisted Poincar'e
series of parabolic subgroups of affine Weyl groups and hyperbolic stabilizers
of geodesic tubes. Moreover, from such relation, we find a length-preserving
factorization of affine Weyl groups of type $\tilde{A}_n$ and $\tilde{C}_n$.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph