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arXiv · 1805.04846

The SL(1,D)-distinction problem

Hengfei Lu
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Abstract

We use the local theta correspondences between the quaternionic Hermitian groups and the quaternionic skew-Hermitian groups to understand the distinction problem for the symmetric pair SL(2,E)/SL(1,D), where E is a quadratic field extension of a nonarchimedean local field extension F and D is a 4-dimensional division quaternion algebra over F

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Hengfei Lu. 2018-05-13. The SL(1,D)-distinction problem. https://arxiv.org/abs/1805.04846

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