Mathematics Colloquium - Spring 2005

Monday, March 7th, 2005
2:30pm - 3:30pm, in Science 2-065

Hadi Salmasian

Yale University

Small unitary representations and isolatedness of the minimal representation

Abstract: We introduce a new notion of rank for an (infinite dimensional) unitary representation of a Lie group based on Kirillov's philosophy of orbits. The theory has a number of applications; in particular we show that for several exceptional groups, minimal representations (which, in a sense, are the smallest representations after the trivial representation) are isolated in the unitary dual.


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