Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $A_n$ extensions of some expansion formulas of Liu   In this paper we give $A_n$ extensions of two groups of well-known expansion
formulas of Z.-G. Liu explicitly. As the first application, the classical
Rogers-Selberg identity, from which the Rogers-Ramanujanidentities can be
easily derived, is extended to a new multiple series over the root system
$A_n$; as the second application, an $A_n$ extension of Sylvester's identity
are deduced. We use two multiple series identities of Bhatnagar and Rai.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: gr-qc