T. Kobayashi and B. Speh.
Symmetry breaking for orthogonal groups and a conjecture by B.
Gross and D. Prasad.
In W. Müller, S. Shin, and N. Templier, editors, SSTF
2016: Geometric Aspects of the Trace Formula, Simons Symposium on the Trace
Formula, pages 245-266. Springer, Cham, 2018.
Published online: 12 October 2018. Print ISBN: 978-3-319-94832-4.
Online ISBN: 978-3-319-94833-1. arXiv:
We consider irreducible unitary representations Ai of G=SO(n+1,1) with the same infinitesimal character as the trivial representation and representations Bj of H=SO(n,1) with the same properties and discuss H-equivariant homomorphisms HomH(Ai,Bj). For tempered representations our results confirm the predictions of conjectures by B. Gross and D. Prasad.
[ arXiv |
© Toshiyuki Kobayashi