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  • 天元讲堂(9.15)Gelfand-Kirillov dimensions of Harish-Chandra modules for noncompact Lie groups
  • 浏览量:237 发布人:佚名 发布时间:2017-09-12 17:54:37

  • 报告人:白占强(武汉大学)

    报告时间 2017年9月15日上午9:30-10:30

    报告地点:维格堂113

    报告摘要:  In this talk, we will study the Gelfand-Kirillov dimensions of Harish-Chandra modules for noncompact Lie groups.  In the first part, we recall some definitions about the Gelfand-Kirillov dimension. In the second part (joint work with Xun Xie), by using Lusztig’s a-function we will give a combinatoric algorithm for the Gelfand-Kirillov dimensions of all irreducible highest weight sl(n)-modules. In particular, from this algorithm we can easily determine the associated varieties of highest weight Harish-Chandra modules for SU(p, q). Finally, we will give a formula which can determine the associated varieties of highest weight Harish-Chandra modules for all types (joint work with Markus Hunziker and Roger Zierau). If we have enough time, we will report some progress about the study of GK dimesioins of highest weight modules for type B,C and D. 


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