Spherical Functions in a Certain Distinguished Model

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概要

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• We study unramified principal series representations of general linear groups over p-adic fields, distinguished with respect to the fixator of the Galois involution. We give a certain condition for the unramified principal series to be distinguished, and give a formula for spherical vectors in the distinguished models of $GL_n$, following the method of Kato and Hironaka. We give explicit results for $GL_2$ and $GL_3$.

• 東京大学の論文

著者

• Takano Keiji

  Department Of Mathematics Graduate School Of Science Osaka University

関連論文

• Spherical Functions in a Certain Distinguished Model

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