Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Galilei algebras, symmetric polynomials and singular vectors   We classify and explicitly describe homomorphisms of Verma modules for
conformal Galilei algebras $\mathfrak{cga}_\ell(d,{\mathbb C})$ with $d=1$ for
any integer value $\ell \in \mathbb{N}$. The homomorphisms are uniquely
determined by singular vectors as solutions of certain differential operators
of flag type, and identified with specific polynomials arising as coefficients
in the expansion of a parametric family of symmetric polynomials into power sum
symmetric polynomials.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex