The Mackey bijection via algebraic families of Harish-Chandra modules

Seminar
Speaker
Dr. Eyal Subag (Pennsylvania State University)
Date
17/05/2017 - 11:30 - 10:30Add to Calendar 2017-05-17 10:30:00 2017-05-17 11:30:00 The Mackey bijection via algebraic families of Harish-Chandra modules In 1975 George Mackey pointed out an analogy between certain unitary representations of a semisimple Lie group and its Cartan Motion group.  Recently this analogy was proven to be a part of a bijection between the tempered dual of a real reductive group and the tempered dual of its Cartan Motion group.  In this talk I will show, in the case of SL(2,R), how algebraic families of Harish-Chandra modules can be used to characterize the Mackey bijection and extend it to an algebraic isomorphism between the admissible duals.   Third floor seminar room אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room
Abstract
In 1975 George Mackey pointed out an analogy between certain unitary representations of a semisimple Lie group and its Cartan Motion group. 
Recently this analogy was proven to be a part of a bijection between the tempered dual of a real reductive group and the tempered dual of its Cartan Motion group. 
In this talk I will show, in the case of SL(2,R), how algebraic families of Harish-Chandra modules can be used to characterize the Mackey bijection and extend it to an algebraic isomorphism between the admissible duals.

 

Last Updated Date : 23/04/2017