English

The Model Orbit in $G_2$

Representation Theory 2019-03-05 v1

Abstract

In this article, we decompose the ring of regular functions on the nilpotent orbit of dimension 8 for the complex G2G_2 in which every irreducible representation of G2G_2 appears exactly once. This confirms the predication of McGovern and we have shown that his proposed representation attaching to this orbit is unitarizable.

Keywords

Cite

@article{arxiv.1903.00823,
  title  = {The Model Orbit in $G_2$},
  author = {Man-Wai Cheung},
  journal= {arXiv preprint arXiv:1903.00823},
  year   = {2019}
}

Comments

11 pages

R2 v1 2026-06-23T07:56:32.455Z