English

On self-dual simple types of $p$-adic classical groups

Representation Theory 2010-06-03 v1

Abstract

Let GG be a classical group over a non-Archimedean local field of odd residual characteristic. Using recent work of S. Stevens, we define a certain kind of semisimple stratum, called good, and show that it provides a simple type in GG which is an analogue of the simple type for GL(N,F)GL(N,F) defined by Bushnell and Kutzko. Furthermore, we define a self-dual simple type in GG.

Keywords

Cite

@article{arxiv.1006.0053,
  title  = {On self-dual simple types of $p$-adic classical groups},
  author = {Kazutoshi Kariyama and Michitaka Miyauchi},
  journal= {arXiv preprint arXiv:1006.0053},
  year   = {2010}
}
R2 v1 2026-06-21T15:30:17.358Z