English

A note on the universal supersingular quotients of $U(2,1)$

Representation Theory 2024-02-16 v1 Number Theory

Abstract

Let GG be the unramified unitary group U(2,1)(E/F)U(2, 1)(E/F) defined over a non-archimedean local field FF of residue characteristic p2p\neq 2. In this note, we prove the universal supersingular quotients of GG are not irreducible in general.

Keywords

Cite

@article{arxiv.2402.09753,
  title  = {A note on the universal supersingular quotients of $U(2,1)$},
  author = {Peng Xu},
  journal= {arXiv preprint arXiv:2402.09753},
  year   = {2024}
}

Comments

Comments are welcome. arXiv admin note: text overlap with arXiv:1803.09262