Comparing Translation and Jaquet functor over general linear groups
Representation Theory
2025-08-26 v2
Abstract
Kei Yuen Chan and Kayue Daniel Wong constructed a functor from the category of Harish-Chandra modules of to the category of modules over graded Hecke algebra of type A. This functor has several nice properties, such as compatible with parabolic inductions, and preserving standard and irreducible objects. Based on their results, we show this functor relates translation functor on the real side and Jacquet functor on the -adic side.
Keywords
Cite
@article{arxiv.2410.10129,
title = {Comparing Translation and Jaquet functor over general linear groups},
author = {Chang Huang},
journal= {arXiv preprint arXiv:2410.10129},
year = {2025}
}