Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Category $\mathcal{O}$ for Lie algebras of vector fields (I):
  Tilting modules and character formulas   In this article, we exploit the theory of graded module category with
semi-infinite character developed by Soergel in \cite{Soe} to study
representations of the infinite dimensional Lie algebras of vector fields
$W(n), S(n)$ and $H(n)$ $(n\geq 2)$, and obtain the description of
indecomposable tilting modules. The character formulas for those tilting
modules are determined.

21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc