Advances in Applied Clifford Algebras

, Volume 8, Issue 2, pp 341-364

First online:

The octonionic eigenvalue problem

  • Tevian DrayAffiliated withDepartment of Mathematics, Oregon State University Email author 
  • , Corinne A. ManogueAffiliated withDepartment of Physics, Oregon State University

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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.