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报告题目：Construction of Gelfand-Tsetlin modules for Yangians

报  告  人：张健  教授(华中师范大学)

报告时间：2020 年10月25日（星期日）上午9:00-10:00                 

报告地点：4号楼4318 室

邀  请  人：刘明  博士

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数学学院

2020年10月23日

报告摘要：

We construct explicitly a family of new simple modules for Yangian of type A. A basis of these modules is given by the Gelfand-Tsetlin tableaux whose entries satisfy certain conditions. In particular we describe a family of simple infinite dimensional highest weight relation modules. We also prove a sufficient condition for the simplicity of tensor product of two highest weight relation modules and establish the simplicity of the tensor product any number of relation modules with generic highest weights.