报 告 人：陈洪佳 教授
报告题目：Finite dimensional representations of the nullity $2$ centreless core $\mathfrak{g}_{2n,\rho}(\mathbb C_q)$
报告时间：4月26号（周二）下午4：00-5：00
报告地点：静远楼1506学术报告厅
主办单位：数学与统计学院、科技处
报告摘要：Extended affine Lie algebras (EALA) were first introduced by physicists H{\o}egh-Krohn and Torresani, as a generalization of finite-dimensional simple Lie algebras and affine Kac-Moody Lie algebras over the complex numbers $\mathbb{C}$. In 2006, Yoshii gave a simple characterization of the core of an EALA. Namely, he showed that the core of any EALA is a Lie torus, and any centreless Lie torus is the centreless core of some EALA.
In this talk, the finite-dimensional irreducible representations of the nullity 2 centreless core $\mathfrak{g}_{2n,\rho}(\mathbb{C}_q)$ will be discussed by investigating the structure of the $\mathrm{BC}_n$-graded Lie algebra $\mathfrak{g}_{2n,\rho}(R)$.
This talk is based on the joint work with Sandeep Bhargava and Yun Gao.
陈洪佳教授简介：
陈洪佳，2008年于中国科学技术大学获得基础数学博士学位,2008年9月至2013年7月分别在加拿大约克大学、加拿大阿尔伯塔大学以及加拿大劳里埃大学从事学术研究工作。主要从事无限维李代数、量子群的结构和表示理论的研究。近五年，陈洪佳教授在《Transactions of the American Mathematical Society》、《Journal of the London Mathematical Society》、《Mathematische Zeitschrift》以及《Journal of Algebra》等SCI杂志上发表学术论文14篇。
