Restricting cohomological representations of SO(n, 1) and SU(n, 1)
Author(s)
Publisher
: World Scientific Publ Co Pte Ltd
Date issued
2003
From page
1235
To page
1241
Subjects
real or complex hyperbolic spaces cohomological representations spherical representations first cohomology harmonic maps
Abstract
Let G denote either SO0(n, 1) or SU(n, 1). We study restrictions of cohomological representations of G to subgroups H isomorphic to SO0(m, 1) or SU(m, 1). We prove that such a restriction contains, as a subrepresentation, some cohomological representation of H. When G = SU(n, 1), we extend a result of Delorme by showing that cohomological representations are non-spherical in a strong sense: if H is isomorphic to SU(m, 1) (with 1
Event name
International Conference on GroupTheory - Combinatorial, Geometric and Dynamical Aspects of Infinite Groups
Location
Gaeta, ITALY
Publication type
conference paper