English

A Nearly Quaternionic Structure on SU(3)

Differential Geometry 2010-04-02 v1

Abstract

It is shown that the compact Lie group SU(3) admits an Sp(2)Sp(1)-structure whose distinguished 2-forms ω1,ω2,ω3\omega_1,\omega_2,\omega_3 span a differential ideal. This is achieved by first reducing the structure further to a subgroup isomorphic to SO(3).

Keywords

Cite

@article{arxiv.0908.4183,
  title  = {A Nearly Quaternionic Structure on SU(3)},
  author = {Oscar Macia},
  journal= {arXiv preprint arXiv:0908.4183},
  year   = {2010}
}
R2 v1 2026-06-21T13:39:56.104Z