T. Kobayashi and B. Speh. Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad. preprint, 25 pages..

We consider irreducible unitary representations A_i of G=SO(n+1,1) with the same infinitesimal character as the trivial representation and representations B_j of H=SO(n,1) with the same properties and discuss H-equivariant homomorphisms Hom_H(A_i,B_j). For tempered representations our results confirm the predictions of conjectures by B. Gross and D. Prasad.

© Toshiyuki Kobayashi