Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad
Representation Theory
2019-04-09 v2 Number Theory
Abstract
We consider irreducible unitary representations of G=SO(n+1,1) with the same infinitesimal character as the trivial representation and representations of H=SO(n,1) with the same properties and discuss H-equivariant homomorphisms Hom_H(). For tempered representations our results confirm the predictions of conjectures by B. Gross and D. Prasad.
Keywords
Cite
@article{arxiv.1702.00263,
title = {Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad},
author = {Toshiyuki Kobayashi and Birgit Speh},
journal= {arXiv preprint arXiv:1702.00263},
year = {2019}
}