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arXiv · 1709.09107

The value of the global intertwining operators on spherical vectors

Volker Heiermann
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Abstract

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.

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Volker Heiermann. 2017-09-26. The value of the global intertwining operators on spherical vectors. https://arxiv.org/abs/1709.09107

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