AG Lie-Gruppen: T. Simon, FAU: On Growth of Derivatives in Harish-Chandra Modules

On Growth of Derivatives
in Harish-Chandra Modules – Vortragender: Tobias Simon, Friedrich-Alexander-Universität Erlangen-Nürnberg – Einladender: Karl-Hermann Neeb

Abstract: In this talk, we explain the connection of
globalizations of Harish-Chandra modules and the complex crown domain, which
allows holomorphic extension of orbit maps. This allows one to apply methods
from complex analysis to obtain sharp polynomial estimates from above and below
of the derivatives of these orbit maps since the geometry of the domain
determines the asymptotic at the boundary.