On parabolic induction and Jacquet modules over p-adic group
Representation Theory
2025-09-05 v1
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.
Keywords
Cite
@article{arxiv.2509.03823,
title = {On parabolic induction and Jacquet modules over p-adic group},
author = {Jingsong Chai},
journal= {arXiv preprint arXiv:2509.03823},
year = {2025}
}