Mathematics – Representation Theory
Scientific paper
2009-11-24
Mathematics
Representation Theory
Scientific paper
We prove the local Gross-Prasad conjecture for tempered representations of special orthogonal groups. Roughly speaking, the conjecture says that, if sigma is an irreducible representation of SO(n) and rho is an irreducible representation of SO(n-1), rho appears as quotient of the restriction of sigma to SO(n-1) with a multiplicity m(sigma,rho) that can be computed in terms of epsilon-factors. Our proof uses results of a previous papers which computes m(sigma,rho) and the epsilon-factors by integral formulas.
No associations
LandOfFree
La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes spéciaux orthogonaux does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes spéciaux orthogonaux, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes spéciaux orthogonaux will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-279652