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arXiv · 2509.03823

On parabolic induction and Jacquet modules over p-adic group

Jingsong Chai
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Abstract

In this note, using tensor products with appropriate bimodules over Hecke algebras, we uniformly describe parabolic induction and Jacquet module. We also recover a result of Loke and Przebinda on construction of big theta lift in local theta correspondenc using similar description.

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BibTeXRIS

Jingsong Chai. 2025-09-04. On parabolic induction and Jacquet modules over p-adic group. https://arxiv.org/abs/2509.03823

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