English

Jacquet modules and local Langlands correspondence

Representation Theory 2018-12-18 v1 Number Theory

Abstract

In this paper, we explicitly compute the semisimplifications of all Jacquet modules of irreducible representations with generic L-parameters of p-adic split odd special orthogonal groups or symplectic groups. Our computation represents them in terms of linear combinations of standard modules with rational coefficients. The main ingredient of this computation is to apply Moeglin's explicit construction of local A-packets to tempered L-packets.

Keywords

Cite

@article{arxiv.1812.06607,
  title  = {Jacquet modules and local Langlands correspondence},
  author = {Hiraku Atobe},
  journal= {arXiv preprint arXiv:1812.06607},
  year   = {2018}
}

Comments

28 pages

R2 v1 2026-06-23T06:44:09.810Z