Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The space of generalized G_2-theta functions of level one   Let G_2 be the exceptional Lie group of automorphisms of the complex Cayley
algebra and C be a generic, smooth, connected, projective curve over
$\mathbb{C}$ of genus at least 2. For a complex Lie group G, let H^0(M(G),L^k)
be the space of generalized G-theta functions over C of level k, where M(G)
denotes the moduli stack of principal G-bundles over C and L the ample line
bundle that generates the Picard group Pic(M(G)).
  Using the map obtained from extension of structure groups, we prove that the
space H^0(M(G_2),L) of generalized G-2-theta functions over C of level one and
the invariant space of H^0(M(SL_2), L) \otimes H^0(M(SL_2), L^3) under the
action of 2-torsion elements of the Jacobian JC[2] are isomorphic. We also
prove explicit links between H^0(M(G_2),L) and the space of generalized
SL_3-theta functions of level one.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ