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Weight modules of affine Lie algebras
澳门新葡8455最新网站:2017年06月19日 08:56 点击数:

报告人:Ivan Dimitrov

报告地点:澳门新葡8455最新网站501室

报告澳门新葡8455最新网站:2017年06月21日星期三15:00-16:30

邀请人:

报告摘要:

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.

主讲人概况:

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。

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