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On the Gelfand-Kirillov conjecture
Dr. Jean-Marie Bois
2018-01-01 12:13  华东师范大学

曹锡华代数论坛
演讲题目(Title) : On the Gelfand-Kirillov conjecture
演讲人(Speaker): Dr. Jean-Marie Bois
(Christian-Albrechts-Universität zu Kiel)
时间(Time):2011年9月8日(周四),10: 00am-11:00am
地点(Venue):闵行校区数学楼102报告厅
摘要(Abstrct): The classical Gelfand-Kirillov conjecture concerns the structure of enveloping skewfields of finite-dimensional Lie algebras over fields of characteristic 0. It can be viewed as a double question of rationality, both in the ordinary commutative sense (for the centre) and in a suitable non-commutative sense (above the centre). In this talk, we will give an overview of the problem, from its origin in 1966 till the most recent developments in the past few years. If time permits, we will mention analogues of the conjecture in different settings (quantum algebra or Poisson geometry).