Weight modules of affine Lie algebras(Ⅱ)
报 告 人:: Ivan Dimitrov
报告地点:: 数学与统计学院105室
报告时间:: 2017年06月30日星期五15:00-17:00

There are two well-known classes of integrable modules over affine Lie algebras: highest weight modules and loop modules. I will describe both classes and will explain how they generalize to give weight modules with finite-dimensional weight spaces which are not necessarily integrable. I will then explain the background for our main result — classifying the irreducible weight modules with finite-dimensional weight spaces. The classification result states that every such module is either a parabolically induced module or a loop module. The talk will assume only basic knowledge of finite-dimensional Lie algebras and their representations.

发 布 人:科研助理 发布时间: 2017-06-27
Ivan Dimitrov是加拿大女王大学数学与统计系副系主任、副教授,主要从事李代数和李超代数的表示论的研究;其研究结果主要发表在 American Journal of Math.、IMRN、Transactions AMS、Transformation Group 、Commun. Math. Phys.、Canad. J. Math、J. Algebra等国际核心数学杂志上。