English

Big Theta equals small theta generically

Representation Theory 2023-09-13 v1

Abstract

In this paper we consider the theta correspondence over a non-Archimedean local field. Using the homological method and the theory of derivatives, we show that under a mild condition the big theta lift is irreducible.

Keywords

Cite

@article{arxiv.2309.06343,
  title  = {Big Theta equals small theta generically},
  author = {Rui Chen and Jialiang Zou},
  journal= {arXiv preprint arXiv:2309.06343},
  year   = {2023}
}

Comments

15 pages, comments welcome!

R2 v1 2026-06-28T12:19:23.480Z