On the Jacquet functor of Symplectic groups
Representation Theory
2024-05-13 v1
Abstract
Let be a non-Archimedean local field.~Consider and let be a maximal Levi subgroup of .~This paper undertakes the computation of the Jacquet module of representations of with respect to the maximal Levi subgroup, belonging to a particular class. Finally, we conclude that for a subclass of representations of multiplicity of the Jacquet module does not exceed 2.
Keywords
Cite
@article{arxiv.2405.06450,
title = {On the Jacquet functor of Symplectic groups},
author = {Prem Dagar and Mahendra Kumar Verma},
journal= {arXiv preprint arXiv:2405.06450},
year = {2024}
}
Comments
12 pages; comments are welcome. arXiv admin note: text overlap with arXiv:2405.05719