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arXiv · 2512.19344

Parameters and Theta lifts

Zhe Li·Shanwen Wang·Zhiqi Zhu
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Abstract

In this note, we make explicit the correspondence between Harish-Chandra parameters and Langlands-Vogan parameters for symplectic groups and orthogonal groups of equal rank over reals. As an application, we reformulate Moeglin's results and Paul's work on the Howe correspondence for symplectic-orthogonal dual pairs using Langlands-Vogan parameters.

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Zhe Li, Shanwen Wang, Zhiqi Zhu. 2025-12-22. Parameters and Theta lifts. https://arxiv.org/abs/2512.19344

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