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.