报告时间：2025年6月12日（星期四）18:00

报告地点：翡翠湖校区科教楼B1710室

报 告 人：林洪达 博士

工作单位：南方科技大学杰曼诺夫国际数学中心

举办单位：数学学院

报告简介：

We explain an equivalence of the twisted super Yangian $\mathrm{Y}^{tw}\big(\mathfrak{osp}{M|N}\big)$ in different presentations, which is a coideal sub-superalgebra of the super Yangian of the general linear Lie superalgebra $gl{M|N}$. We introduce the quantum Berezinian $\mathfrak{B}^{tw}(u)$ for $\mathrm{Y}^{tw}\big(\mathfrak{osp}_{M|N}\big)$ and prove that the coefficients of $\mathfrak{B}^{tw}(u)$ generate its center. An explicit formulation of $\mathfrak{B}^{tw}(u)$ will be presented in terms of RTT generators. Moreover, we prove analogues of the Liouville theorem and quantum Sylvester theorem for the quantum Berezinian $\mathfrak{B}^{tw}(u)$. This talk is based on joint work with Y. Wang and H. Zhang.

报告人简介：

林洪达，南方科技大学杰曼诺夫国际数学中心博后，主要从事与李理论的表示范畴相关的研究。至今为止在 J. Algebra，SIGMA Symmetry Integrability Geom. Methods Appl.，J. Algebra Appl. 等杂志发表高水平论文多篇。