OCTONIONIC HERMITIAN MATRICES WITH NON-REAL EIGENVALUES |
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| Authors: | Tevian Dray Jason Janesky Corinne A. Manogue |
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| Affiliation: | (1) Department of Mathematics, Oregon State University, Corvallis, OR 97331, USA;(2) Department of Physics, Oregon State University, Corvallis, OR 97331, USA;(3) Present address: Phoenix Corporate Research Laboratories, Motorola Inc., Tempe, AZ 85284, USA |
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| Abstract: | We extend previous work on the eigenvalue problem for Hermitian octonionic matrices by discussing the case where the eigenvalues are not real, giving a complete treatment of the 2 × 2 case, and summarizing some preliminary results for the 3 × 3 case. |
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