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The octonionic eigenvalue problem

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Abstract

We discuss the eigenvalue problem for 2×2 and 3×3 octonionic Hermitian matrices. In both cases, we give the general solution for real eigenvalues, and we show there are also solutions with non-real eigenvalues.

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Authors and Affiliations

  1. Department of Mathematics, Oregon State University, 97331, Corvallis, OR, USA

    Tevian Dray

  2. Department of Physics, Oregon State University, 97331, Corvallis, OR, USA

    Corinne A. Manogue

Authors
  1. Tevian Dray
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  2. Corinne A. Manogue
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Correspondence to Tevian Dray.

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Dray, T., Manogue, C.A. The octonionic eigenvalue problem. AACA 8, 341–364 (1998). https://doi.org/10.1007/BF03043104

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  • DOI: https://doi.org/10.1007/BF03043104

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