报告题目：Generalized oscillator representations of the twisted Heisenberg-Virasoro algebra

报 告 人：赵开明教授 加拿大罗瑞尔大学

报告时间：5月25日 15：10-16:00

报告地点：数学楼617

报告摘要：

A general result on sufficient conditions for tensor product modules to be simple over an arbitrary Lie algebra will be given. All simple smooth modules over the infinite-dimensional Heisenberg algebra will be obtained. Using generalized oscillator representations we give the necessary and sufficient conditions for Whittaker modules over the Heisenberg algebra to be simple. The ``shifting technique" will be used to determine the necessary and sufficient conditions for the tensor products of highest weight modules and modules of intermediate series over the Heisenberg algebra to be simple. All results come form a joint paper with R. Lu.

报告人简介：

  赵开明，加拿大罗瑞尔大学教授、中科院百人计划，主要从事李代数、非交换代数等领域的研究工作，在《 Advances in Mathematics》《Proceedings of the London Ma thematical Society》《Transactions of the American Mathematical Society》等杂志发表高水平学术论文100余篇，主持完成3项加拿大研究理事会基金项目和多项国家面上项目，是国际代数学领域有重要影响的专家。