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arXiv · 1611.03633

A New Proof to the Period Problems of GL(2)

Hengfei Lu
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Abstract

We use the relations between the base change representations, theta lifts and Whittaker model, to give a new proof to the period problems of $GL(2)$ over a quadratic local field extension $E/F.$ And we classify both local and global $D^\times(F)-$distinguished representations $π^D$ of $D^\times(E),$ where $D^\times$ is an inner form of $GL_2$ defined over a nonarchimedean field or a number field $F.$

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BibTeXRIS

Hengfei Lu. 2020-06-18. A New Proof to the Period Problems of GL(2). https://doi.org/10.1016/j.jnt.2017.03.010

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