"Matrix coefficients of cohomologically induced representations"
Prof. Binyong Sun
There are two classical ways to construct representations of real
reductive groups, namely, ordinary parabolic induction and
cohomological parabolic induction. Every irreducible representation
can be obtained by a combination of these two. Harish-Chandra's
Eisenstein integrals represent matrix coefficients of ordinarily
induced representations. I will explain how to use Flensted-Jensen
duality to express certain matrix coefficients of cohomologically
induced representations.