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arXiv:2503.03181 (math)
[Submitted on 5 Mar 2025 ]

Title: A Drinfeld Presentation of the Queer Super-Yangian

Title: 一个Drinfeld形式的奇异性超Yangian

Authors:Zhihua Chang, Yongjie Wang
Abstract: We introduce a Drinfeld presentation for the super-Yangian $\mathrm{Y}(\mathfrak{q}_n)$ associated with the queer Lie superalgebra $\mathfrak{q}_n$. The Drinfeld generators of $\mathrm{Y}(\mathfrak{q}_n)$ are obtained by a block version Gauss decomposition of the generator matrix in its RTT presentation, and the Drinfeld relations are explicitly computed by utilizing a block version of its RTT relations.
Abstract: 我们引入了与奇异李超代数$\mathfrak{q}_n$相关的超级-Yangian$\mathrm{Y}(\mathfrak{q}_n)$的 Drinfeld 表示。 $\mathrm{Y}(\mathfrak{q}_n)$的 Drinfeld 生成元通过其 RTT 表示中生成矩阵的块版本高斯分解得到,而 Drinfeld 关系则是通过利用其 RTT 关系的块版本显式计算得出。
Comments: 33 pages, comments welcome
Subjects: Quantum Algebra (math.QA) ; Representation Theory (math.RT)
Cite as: arXiv:2503.03181 [math.QA]
  (or arXiv:2503.03181v1 [math.QA] for this version)
  https://doi.org/10.48550/arXiv.2503.03181
arXiv-issued DOI via DataCite

Submission history

From: Yongjie Wang [view email]
[v1] Wed, 5 Mar 2025 04:53:22 UTC (26 KB)
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