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From quantum loop superalgebras to super Yangians
时间:2023年10月07日 09:13 点击数:

报告人:张红莲

报告地点:腾讯会议ID:513797691

报告时间:2023年10月09日星期一9:50-10:35

邀请人:陈良云

报告摘要:

In this talk, we generalize a statement of Drinfeld that Yangians can be constructed as limit forms of the quantum loop algebras to super case. We establish a connection between quantum loop superalgebra and super Yangian of general linear Lie superalgebra $\mathfrak{gl}_{M|N}$ in RTT type presentation. Additionally, we explore the application of the same argument to twisted super Yangian of the ortho-symplectic Lie superalgebra. For this purpose, we introduce the twisted quantum loop superalgebra as a one-sided coideal of quantum group superalgebra $\mathrm{U}_q(\mathfrak{gl}_{M|2n})$ with respect to the comultiplication. In particular, we derive a PBW type basis of this coideal sub-superalgebra from its $\mathbb{A}$-form. This talk is based on the joint paper with Hongda Lin and Yongjie Wang.

主讲人简介:

张红莲,上海大学理学院数学系主任、教授、博士生导师,主要从事李理论、量子群、量子代数及其表示理论的研究。在Comm. Math. Phys.、Trans. Amer. Math. Soc.、 J. Algebra,Algebra Represent. Theory.等国际权威杂志上发表高水平SCI论文。主持5项国家自然科学基金项目,包括青年项目1项,天元专项项目1项,面上项目3项,主持上海市自然科学基金面上项目1项。2020年4月至2022年2月任国家自然科学基金委数理学部数学处流动项目主任。

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