English

On a twisted Jacquet module of GL(2n) over a finite field

Representation Theory 2022-06-09 v2 Group Theory

Abstract

Let F be a finite field and G=GL(2n,F). In this paper, we explicitly describe a certain twisted Jacquet module of an irreducible cuspidal representation of G.

Keywords

Cite

@article{arxiv.2206.03024,
  title  = {On a twisted Jacquet module of GL(2n) over a finite field},
  author = {Kumar Balasubramanian and Abhishek Dangodara and Himanshi Khurana},
  journal= {arXiv preprint arXiv:2206.03024},
  year   = {2022}
}

Comments

This work is a part of the third author's ongoing doctoral thesis. We welcome comments and suggestions. arXiv admin note: substantial text overlap with arXiv:2206.02634