English

The distinction problem for metaplectic case

Representation Theory 2019-05-21 v1

Abstract

We use the theta lifts between Mp(2) and PD to study the distinction problems for the pair (Mp(2,E), SL(2,F )), where E is a quadratic field extension over a nonarchimedean local field F of characteristic zero and D is a quaternion algebra. With a similar strategy, we give a conjectural formula for the multiplicity of distinction problem related to the pair (Mp(2n,E),Sp(2n,F)).

Keywords

Cite

@article{arxiv.1905.07928,
  title  = {The distinction problem for metaplectic case},
  author = {Hengfei Lu},
  journal= {arXiv preprint arXiv:1905.07928},
  year   = {2019}
}

Comments

15 pages. Comments are welcome

R2 v1 2026-06-23T09:12:43.226Z