La conjecture locale de Gross-Prasad pour les groupes spéciaux orthogonaux: le cas général

Mathematics – Representation Theory

Scientific paper

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Scientific paper

We prove the local Gross-Prasad conjecture for generic L-packets of
representations of special orthogonal groups. The proof uses the same result
for tempered L-packets proved in a preceding paper, and irreducibility results
for the induced representations of whose the elements of the L-packets are
Langlands quotients.

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