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From quantum loop superalgebras to super Yangians
报告人:张红莲教授,上海大学 时间:2024年8月15日9: 00-10: 00 字号:

腾讯会议:223-999-785

邀请人:周海燕教授

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 the connections between quantum loop superalgebra and super Yangian of general linear Lie superalgebra $\mathfrak{gl}_{M|N}$ in $RTT$-presentation. We also apply 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.


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