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arXiv:1702.00263 [math.RT]AbstractReferencesReviewsResources

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

Toshiyuki Kobayashi, Birgit Speh

Published 2017-02-01Version 1

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 Gross-Prasad conjectures.

Categories: math.RT, math.NT
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