报告主题：Combinatorial construction of Gelfand Tsetlin modules for gl(n)
报告人：张健 博士后 （巴西圣保罗大学）
报告时间：2017年 12月16日（周六）15:30
报告地点：校本部G507
邀请人：景乃桓
报告摘要：In this talk, we will introduce an effective method of constructing explicitly Gelfand-Tsetlin modules for gl(n). Using this method we obtain a large family of irreducible modules that have a basis consisting of Gelfand-Tsetlin tableaux and the action of the Lie algebra is given by the Gelfand-Tsetlin formulas. As an application of our construction we prove necessary and sufficient condition for the Gelfand and Graev's continuation construction to define a module which was conjectured by Lemire and Patera. This talk is based on joint work with Vyacheslav Futorny and Luis Enrique Ramirez.
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