English

The unitary dual of $U(n,2)$

Representation Theory 2024-05-01 v3

Abstract

In this paper, we give a full classification of the unitary dual of G=U(n,2)G = U(n,2) for n3n \geq 3. As a consequence, we determine which of these representations are weakly fair Aq(λ)A_{\mathfrak{q}}(\lambda)-modules or special unipotent representations, resulting in a verification of a conjecture of Trapa and Vogan for GG.

Keywords

Cite

@article{arxiv.2401.15660,
  title  = {The unitary dual of $U(n,2)$},
  author = {Kayue Daniel Wong and Hongfeng Zhang},
  journal= {arXiv preprint arXiv:2401.15660},
  year   = {2024}
}

Comments

38 pages, to appear in International Mathematics Research Notices