Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Siegel-Weil Theorem for Loop Groups (I)   We proved a new Siegel-Weil formula for orthogonal and symplectic groups,
which will be used later to prove a generalization of Siegel-Weil formula for
loop groups.

6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga