Stein--Sahi complementary series and their degenerations

Abstract

The aim of the paper is an introduction to Stein--Sahi complementary series, holomorphic series, and 'unipotent representations'. We also discuss some open problems related to these objects. For the sake of simplicity, we consider only the groups U(n,n).

40pp, 7fig, revised version

References in corpus (4)

• Plancherel formula for Berezin deformation of $L^2$ on Riemannian symmetric space
• Explicit Hilbert spaces for certain unipotent representations II
• Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants
• Notes on Stein-Sahi representations and some problems of non $L^2$ harmonic analysis