学术讲座

李理论和表示论系列报告

发布时间:2021-09-30   访问量:

地点:腾讯会议ID:905411106

时间:2021年10月3日(星期日)  8:00-11:00

地点:腾讯会议ID:905411106


报告题目1:A family of non-weight modules over the super-Virasoro algebras and the $N=2$ superconformal algebras
报告人:姚裕丰(上海海事大学 教授)

摘要:We construct a family of non-weight modules over the super-Virasoro algebras and the $N=2$ superconformal algebras. These modules when regarded as modules over the Cartan subalgebra $\mathfrak{h}$ (modulo the center) are free of rank 1 or 2. We obtain a sufficient and necessary condition for such modules to be simple. Moreover, we determine the isomorphism classes of these modules. Finally, we show that these modules constitute a complete classification of $U(\mathfrak{h})$-free modules of rank 1 or 2. A relationship among such non-weight modules over these superalgebras is precisely presented. This is a joint work with Hengyun Yang and Limeng Xia.

时间:2021年10月3号 8:00-8:45

报告题目2:The Integral Schur-Weyl-Sergeev Duality and the Research about Quantum Queer Schur Superalgebra
报告人:顾海霞(湖州师范学院 副教授)

摘要:This talk involves some works about the Schur-Weyl-Sergeev duality and its quantum case. Based on the realization of the universal enveloping superalgebra of the queer Lie superalgebra q_n via queer Schur superalgebras,  we achieve the integral Schur-Weyl-Sergeev duality. In order to reconstruct the quantum supergroup  U_q(q_n) associated to q_n through quantum queer Schur superalgebra,  we do some research about the quantum queer Schur superalgebra.

时间:2021年10月3号 9:00-9:45

报告题目3:Semisimple orbits of non-classical restricted simple Lie algebras
报告人:常浩(华中师范大学 副教授)

摘要:In this talk, I will introduce the Weyl groups for the non-classical restricted simple Lie algebras and give a description of semisimple orbits in the restricted Cartan type Lie algebras W,S,H. This is a joint work with Ke Ou.

时间:2021年10月3号 10:00-10:45

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