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Home >> Seminar

Generalized oscillator representations of the twisted Heisenberg Virasoro algebra

Kaiming Zhao教授(Wilfrid Laurier University, Waterloo, Canada)
Friday, May 10th, 2019, 11:00 AM  闵行数学楼102报告厅
赵开明教授,现任加拿大Wilfrid Laurier大学教授。他于1991年获得中国科学院数学博士学位;1994年至1999年任中科院数学与系统科学院副研究员,1999年至2013年任该研究院研究员。
报告内容简介: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.

主持人:舒斌 教授
主办单位:数学科学学院 科技处
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