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arXiv · 1905.07928

The distinction problem for metaplectic case

Hengfei Lu
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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)).

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Hengfei Lu. 2019-05-20. The distinction problem for metaplectic case. https://arxiv.org/abs/1905.07928

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