A Drinfeld Presentation of the Queer Super-Yangian
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911317165604864 |
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| author | Chang, Zhihua Wang, Yongjie |
| author_facet | Chang, Zhihua Wang, Yongjie |
| contents | 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 through a block 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. As a byproduct, we obtain a new expression for the central series of $\mathrm{Y}(\mathfrak{q}_n)$ in terms of Gauss generators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03181 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Drinfeld Presentation of the Queer Super-Yangian Chang, Zhihua Wang, Yongjie Quantum Algebra Representation Theory 17B37, 16T20, 20G42 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 through a block 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. As a byproduct, we obtain a new expression for the central series of $\mathrm{Y}(\mathfrak{q}_n)$ in terms of Gauss generators. |
| title | A Drinfeld Presentation of the Queer Super-Yangian |
| topic | Quantum Algebra Representation Theory 17B37, 16T20, 20G42 |
| url | https://arxiv.org/abs/2503.03181 |