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PreprintarXiv licencearXiv

A note on the center of the queer super Yangian Y(q1)

Abstract

We investigate two families of central elements of the queer super Yangian Y(q1), 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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BibTeX
@misc{chang2026note,
  title = {{A note on the center of the queer super Yangian $\rm Y(\mathfrakq_1)$}},
  author = {Hao Chang and Hongmei Hu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.30293},
  eprint = {2608.30293},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30293},
}
RIS
TY  - UNPB
TI  - A note on the center of the queer super Yangian Y(q_1)
AU  - Hao Chang
AU  - Hongmei Hu
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2608.30293
UR  - https://arxiv.org/abs/2608.30293
AB  - We investigate two families of central elements of the queer super Yangian Y(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}.
ER  -