A Nearly Quaternionic Structure on SU(3)

Details A Nearly Quaternionic Structure on SU(3) A Nearly Quaternionic Structure on SU(3)

2009-08-28

arxiv.org/abs/0908.4183v1

Journal of Geometry and Physics 60 (2010), pp. 791-798

Mathematics

Differential Geometry

Scientific paper

10.1016/j.geomphys.2010.01.009

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

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