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Article Dans Une Revue Proc. Amer. Math. Soc. Année : 2019

The value of the global intertwining operators on spherical vectors

Résumé

Let F be a global field, G an unramified quasi-split reductive group over F and chi an everywhere unramified automorphic character of a maximal maximally split torus of G. Using Langlands-Shahidi theory, we compute the meromorphic function defined by the action of a global standard intertwining operator associated to chi on a spherical vector and show that the ratio of its poles in the positive Weyl chamber is well behaved.

Dates et versions

hal-01654760 , version 1 (04-12-2017)

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Volker Heiermann. The value of the global intertwining operators on spherical vectors. Proc. Amer. Math. Soc., 2019, ⟨10.1090/proc/14208⟩. ⟨hal-01654760⟩
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