学术信息

数学学科2018系列学术报告之七

来源:太阳集团tyc 发布日期:2018-05-29

 

题目: Classification of Harish-Chandra modules for the twisted Virasoro-current algebra

报告人:裴玉峰(上海师范大学)

时  间:2018年6月2日    10:30-11:30

地  点:3-309

For the twisted Virasoro-current algebra $/mathfrak{g}$, which is the semidirect sum of the Virasoro algebra and the twisted Heisenberg algebra, we give a complete classification of the simple weight modules of $/mathfrak{g}$ with finite weight multiplicities. In particular,  any such module is either a highest or lowest weight module, or a module of the intermediate series. We also obtain  a classification of  unitary simple highest weight modules of $/mathfrak{g}$. This is a joint work with Dong Liu and Limeng Xia.