A Nearly Quaternionic Structure on SU(3)

preprint2009arXivOpen access

It is shown that the compact Lie group SU(3) admits an Sp(2)Sp(1)-structure whose distinguished 2-forms $ω_1,ω_2,ω_3$ span a differential ideal. This is achieved by first reducing the structure further to a subgroup isomorphic to SO(3).

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A Nearly Quaternionic Structure on SU(3)

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