Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacobi Forms of Critical Weight and Weil Representations   Jacobi forms can be considered as vector valued modular forms, and Jacobi
forms of critical weight correspond to vector valued modular forms of weight
$\frac12$. Since the only modular forms of weight $\frac12$ on congruence
subgroups of $\SL$ are theta series the theory of Jacobi forms of critical
weight is intimately related to the theory of Weil representations of finite
quadratic modules. This article explains this relation in detail, gives an
account of various facts about Weil representations which are useful in this
context, and it gives some applications of the theory developed herein by
proving various vanishing theorems and by proving a conjecture on Jacobi forms
of weight one on $\SL$ with character.

0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci