Speaker
Michael Cowling
(University of New South Wales)
Description
This is an account of joint work with Francesca Astengo (Genova) and Bianca Di Blasio (Milano Bicocca).
Harish-Chandra showed that irreducible unitary representations of semisimple Lie groups are admissible; these are easier to understand than general representations. But, as Pierre Julg and others have shown, there are good reasons to look at representations that are not unitary, so it is natural to ask whether ``all'' irreducible representations on (say) Banach spaces are admissible. We show that the answer to this question is closely related to a classical question in functional analysis, the invariant subspace problem.
https://sites.google.com/view/julgfest