Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A compact presentation for the alternating central extension of the
  positive part of $U_q(\widehat{\mathfrak{sl}}_2)$   This paper concerns the positive part $U^+_q$ of the quantum group
$U_q({\widehat{\mathfrak{sl}}}_2)$. The algebra $U^+_q$ has a presentation
involving two generators that satisfy the cubic $q$-Serre relations. We
recently introduced an algebra $\mathcal U^+_q$ called the alternating central
extension of $U^+_q$. We presented $\mathcal U^+_q$ by generators and
relations. The presentation is attractive, but the multitude of generators and
relations makes the presentation unwieldy. In this paper we obtain a
presentation of $\mathcal U^+_q$ that involves a small subset of the original
set of generators and a very manageable set of relations. We call this
presentation the compact presentation of $\mathcal U^+_q$.

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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph