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arXiv · 2608.30293

A note on the center of the queer super Yangian ${\rm Y}(\mathfrak{q}_1)$

Hao Chang·Hongmei Hu
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Abstract

We investigate two families of central elements of the queer super Yangian ${\rm Y}(\mathfrak{q}_1)$, arising from the constructions of Poletaeva-Serganova and from Nazarov's quantum Berezinian. We establish an explicit relation between their generating series, thereby giving an answer to the question raised by Nazarov in \cite{Na22}.

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Hao Chang, Hongmei Hu. 2026-08-31. A note on the center of the queer super Yangian ${\rm Y}(\mathfrak{q}_1)$. https://arxiv.org/abs/2608.30293

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