Octonionic Hermitian Matrices with Non-Real Eigenvalues
Tevian Dray, Jason Janesky, Corinne A. Manogue
Abstract
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Tevian Dray, Jason Janesky, Corinne A. Manogue
Abstract
Open-access reader
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 2x2 case, and summarizing some prelimenary results for the 3x3 case.
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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 2x2 case, and summarizing some prelimenary results for the 3x3 case.
Key concepts: Hermitian matrix, Eigenvalues and eigenvectors, Mathematics, Pure mathematics, Algebra over a field, Work (physics), Matrix (chemical analysis), Physics