English

Vogan's FPP conjecture for complex Lie groups

Representation Theory 2024-07-24 v1

Abstract

In this paper, we give a proof of Vogan's fundamental parallelepiped (FPP) conjecture for complex simple Lie groups, resulting in a reduction step in the classification of irreducible unitary representations for these groups.

Keywords

Cite

@article{arxiv.2407.16512,
  title  = {Vogan's FPP conjecture for complex Lie groups},
  author = {Chao-Ping Dong and Kayue Daniel Wong},
  journal= {arXiv preprint arXiv:2407.16512},
  year   = {2024}
}

Comments

18 pages

R2 v1 2026-06-28T17:50:55.366Z