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

Hengfei Lu

doi:10.1016/j.jnt.2017.03.010

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

Representation Theory 2020-06-19 v3

Authors: 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 $\pi^D$ of $D^\times(E),$ where $D^\times$ is an inner form of $GL_2$ defined over a nonarchimedean field or a number field $F.$

Keywords

theta correspondence automorphic representations langlands correspondence

Cite

@article{arxiv.1611.03633,
  title  = {A New Proof to the Period Problems of GL(2)},
  author = {Hengfei Lu},
  journal= {arXiv preprint arXiv:1611.03633},
  year   = {2020}
}

Comments

Rewrite the proof in this version. arXiv admin note: text overlap with arXiv:1006.3367 by other authors

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

Abstract

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