Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rankin-Cohen brackets for orthogonal Lie algebras and bilinear
  conformally invariant differential operators   Based on the Lie theoretical methods of algebraic Fourier transformation, we
classify singular vectors of diagonally embedded generalized Verma modules for
orthogonal Lie algebra and its conformal parabolic subalgebra with commutative
nilradical, thereby realizing the diagonal branching rules. In particular, we
construct the singular vectors for all one dimensional inducing
representations, exploiting recursive structure for the generalized
hypergeometric function ${}_3F_2$. As a geometrical consequence, we classify
bilinear conformally invariant differential operators acting on homogeneous
line bundles and realize their dependence on inducing representation
theoretical parameters in an explicit way.

3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex