La conjecture locale de Gross-Prasad pour les repr\'esentations temp\'er\'ees des groupes sp\'eciaux orthogonaux
By J. Waldspurger. 2009
73 citations recorded by the source corpus.
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.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a306e47b538e9513292fffb4ee20570fa2b055d7
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In Discrete Mathematics and Combinatorics
- W. Gan
- Atsushi Ichino
- Wei Zhang
- Michael Rapoport
- S. Kudla
- Shuichiro Takeda
- Yannan Qiu
- Y. Sakellaridis
In Geometry and Topology
- W. Gan
- Atsushi Ichino
- Hiraku Atobe
- Wei Zhang
- Paul D. Nelson
- Shuichiro Takeda
- Ralf Schmidt
- Michael Rapoport
In Mathematical Physics
- W. Gan
- Atsushi Ichino
- Wei Zhang
- Hiraku Atobe
- Shuichiro Takeda
- Paul D. Nelson
- Michael Rapoport
- Ralf Schmidt
Citations in the corpus
- The Gross–Prasad conjecture and local theta correspondence (2014, background): “In a stunning series of papers [20], [21], [22], [23], Waldspurger has established the Bessel case of the GP conjecture for tempered L-parameters φ in the case of special orthogonal groups; the case of general generic L-parameters is then dealt with by Mœglin-Waldspurger [13].”