English

On the Gan-Gross-Prasad problem for finite classical groups

Representation Theory 2021-11-19 v3

Abstract

In this paper we study the Gan-Gross-Prasad problem for finite classical groups. Our results provide complete answers for unipotent representations, and we obtain the explicit branching laws for these representations. Moreover, for arbitrary representations, we give a formula to reduce the Gan-Gross-Prasad problem to the restriction problem of Deligne-Lusztig characters.

Keywords

Cite

@article{arxiv.2007.06938,
  title  = {On the Gan-Gross-Prasad problem for finite classical groups},
  author = {Zhicheng Wang},
  journal= {arXiv preprint arXiv:2007.06938},
  year   = {2021}
}
R2 v1 2026-06-23T17:06:17.907Z