Symmetry Breaking for Representations of Rank One Orthogonal Groups - Couverture souple

Kobayashi, Toshiyuki; Speh, Birgit

 
9781470419226: Symmetry Breaking for Representations of Rank One Orthogonal Groups
Couverture souple
ISBN 10 : 147041922X ISBN 13 : 9781470419226
Editeur : American Mathematical Society, 2015

Synopsis

The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of $G=O(n+1,1)$ and $G'=O(n,1)$. They construct three meromorphic families of the symmetry breaking operators, and find their distribution kernels and their residues at all poles explicitly. Symmetry breaking operators at exceptional discrete parameters are thoroughly studied.

The authors obtain closed formulae for the functional equations which the composition of the symmetry breaking operators with the Knapp--Stein intertwining operators of $G$ and $G'$ satisfy, and use them to determine the symmetry breaking operators between irreducible composition factors of the spherical principal series representations of $G$ and $G'$. Some applications are included.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Toshiyuki Kobayashi, University of Tokyo, Japan.

Birgit Speh, Cornell University, Ithaca, NY, USA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2015
Langue
anglais
ISBN 10 
147041922X
ISBN 13 
9781470419226
Reliure
Broché
Nombre de pages
112
Coordonnées du fabricant
non disponible
Personne responsable
non disponible