2000arXiv (Cornell University)Open access

Octonionic Hermitian Matrices with Non-Real Eigenvalues

Tevian Dray, Jason Janesky, Corinne A. Manogue

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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 2x2 case, and summarizing some prelimenary results for the 3x3 case.

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What this paper is about

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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Available 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 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

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