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Restricting cohomological representations of SO(n, 1) and SU(n, 1)

Auteur(s)
Valette, Alain 
Institut de mathématiques 
Maison d'édition
: World Scientific Publ Co Pte Ltd
Date de parution
2003
De la page
1235
A la page
1241
Mots-clés
  • real or complex hyperbolic spaces
  • cohomological representations
  • spherical representations
  • first cohomology
  • harmonic maps
  • real or complex hyper...

  • cohomological represe...

  • spherical representat...

  • first cohomology

  • harmonic maps

Résumé
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
Nom de l'événement
International Conference on GroupTheory - Combinatorial, Geometric and Dynamical Aspects of Infinite Groups
Lieu
Gaeta, ITALY
Identifiants
https://libra.unine.ch/handle/123456789/13854
Type de publication
conference paper
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