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arXiv · 1702.00263

Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad

Toshiyuki Kobayashi·Birgit Speh
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Abstract

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.

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Toshiyuki Kobayashi, Birgit Speh. 2017-02-20. Symmetry breaking for orthogonal groups and a conjecture by B. Gross and D. Prasad. https://doi.org/10.1007/978-3-319-94833-1_8

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