Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody
  Lie Algebras   We prove an explicit formula for a projection of singular vectors in the
Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping
algebra of the Heisenberg Lie algebra and of $sl_{2}$ (Theorem 3). The formula
is derived from a more general but less explicit formula due to Feigin, Fuchs
and Malikov [Funct. Anal. Appl. 20 (1986), no. 2, 103-113]. In the simpler case
of $A_{1}^{1}$ the formula was obtained in [Fuchs D., Funct. Anal. Appl. 23
(1989), no. 2, 154-156].

10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con