Title: Algorithms for computing Lusztig's a-functions and Gelfand-Kirillov dimenions
Speaker: Prof. Xunfu Xie ( Beijing Institute of Technology )
Time: Sat, Nov.14 2020, AM: 09:00-10:00
Location: Tencent Conference
Meeting Number: 142 143 814
Password: 201114
Inviter: Dr. Ming Liu
Abstract:
In this talk, I will present joint works with Bai zhanqiang, which give some algorithms of Lusztig's a-functions of classical Weyl groups and Gelfand-Kirillov dimensions of simple highest weight modules of simple Lie glgebras of classical types. As an application, we also give some formulas of computing GK dimensions of Harish-Chandra modules of classical Hermitian Lie groups.