# A compact presentation for the alternating central extension of the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$.

@article{Terwilliger2020ACP, title={A compact presentation for the alternating central extension of the positive part of \$U\_q(\widehat\{\mathfrak\{sl\}\}\_2)\$.}, author={Paul M. Terwilliger}, journal={arXiv: Quantum Algebra}, year={2020} }

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…

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