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An explicit computation of p -stabilized vectors

Michitaka MIYAUCHITakuya YAMAUCHI — 2014

Journal de Théorie des Nombres de Bordeaux

In this paper, we give a concrete method to compute p -stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over p -adic fields. An application to the global setting is also discussed. In particular, we give an explicit p -stabilized form of a Saito-Kurokawa lift.

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