Finding 3 × 3 Hermitian Matrices over the Octonions with Imaginary Eigenvalues
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- Gillow-Wiles, H. & Dray, T. AACA (2010) 20: 247. doi:10.1007/s00006-010-0201-4
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We show that any 3-component octonionic vector which is purely imaginary, but not quaternionic, is an eigenvector of a 6-parameter family of Hermitian octonionic matrices, with imaginary eigenvalue equal to the associator of its elements.