報告題目：Free fields and Lie superalgebras of type A
報 告 人：陳洪佳教授 中國科技大學
報告時間：5月25日 16：20-17:10
報告地點：數學樓617
報告摘要：
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.
報告人簡介：
陳洪佳，中國科技大學教授，2014年入選中組部第十批“青年計劃”。 主要從事無限維李代數、量子群的結構和表示理論的研究。在《Transactions of the American Mathematical Society》、《Journal of the London Mathematical Society》、《Mathematische Zeitschrift》以及《Journal of Algebra》等SCI雜志上發表多篇學術論文。
