报告题目：Free fields and Lie superalgebras of type A

报 告 人：陈洪佳教授 中国科技大学

报告时间：5月25日 16：20-17:10

报告地点：数学楼617

报告摘要：

In this talk, we will construct a class of irreducible representations for the general linear Lie superalgebra gl_{m|n}(C) by using the free fields of Wakimoto. Then we extend the construction to the affine general linear Lie superalgebra on the tensor product of a polynomial algebra and an exterior algebra with infinitely many variables involving one parameter, and we also obtain the necessary and sufficient condition for the representations to be irreducible. If time permits, we will talk about similar represetations over a Lie subsuperalgebra graded by the root system A(0, r). This talk is based on joint works with Sandeep Bhargava, Yun Gao and Yongjie Wang.  

报告人简介：

   陈洪佳，中国科技大学教授，2014年入选中组部第十批“青年计划”。 主要从事无限维李代数、量子群的结构和表示理论的研究。在《Transactions of the American Mathematical Society》、《Journal of the London Mathematical Society》、《Mathematische Zeitschrift》以及《Journal of Algebra》等SCI杂志上发表多篇学术论文。