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吴文俊数学重点实验室代数学系列报告之九十五【白占强】
报告题目: Associated varieties and Gelfand-Kirillov Dimensions of Highest Weight Harish-Chandra Modules

报告人:白占强 (武汉大学)

时间:11月11日 周五 下午3:00-4:00

地点:管研楼1208教室

摘要:
In this talk, we will study the associated varieties and Gelfand-Kirillov dimension of highest weight Harish-Chandra modules for noncompact simple Lie groups. In the first part (joint work with Markus Hunziker), we will give a uniform formula to provide the associated varieties and GK dimensions for all  unitary highest weight Harish-Chandra modules. In the second part (joint work with Xun Xie), by using Lusztig's a-function we will give a combinatoric  algorithm for the GK dimensions of all highest weight modules of simple Lie algebras of type A. In particular, from this algorithm we can easily determine the associated varieties of highest weight Harish-Chandra modules for SU(p,q). 


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