English

Quaternionic Speh representations

Representation Theory 2021-12-14 v1

Abstract

For a central division algebra DD, we study a family of representations of GLk,D\mathrm{GL}_{k,D} (both locally and globally), which can be viewed as analogues of the Speh representations. Locally, we study unique models for these representations. Globally, we show that these representations support certain non-vanishing Fourier coefficients.

Keywords

Cite

@article{arxiv.2112.06208,
  title  = {Quaternionic Speh representations},
  author = {Yuanqing Cai},
  journal= {arXiv preprint arXiv:2112.06208},
  year   = {2021}
}
R2 v1 2026-06-24T08:13:52.254Z