A Nearly Quaternionic Structure on SU(3)
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🧮 math.DG
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omegastructureachievedadmitscompactdifferentialdistinguishedfirst
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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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