Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The category $\mathcal{O}$ for a general Coxeter system   We study the category $\mathcal{O}$ for a general Coxeter system using a
formulation of Fiebig. The translation functors, the Zuckerman functors and the
twisting functors are defined. We prove the fundamental properties of these
functors, the duality of Zuckerman functor and generalization of Verma's result
about homomorphisms between Verma modules.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph