Original Paper

Advances in Applied Clifford Algebras

, Volume 10, Issue 2, pp 193-216

OCTONIONIC HERMITIAN MATRICES WITH NON-REAL EIGENVALUES

  • Tevian DrayAffiliated withDepartment of Mathematics, Oregon State University Email author 
  • , Jason JaneskyAffiliated withDepartment of Physics, Oregon State UniversityPhoenix Corporate Research Laboratories, Motorola Inc.
  • , Corinne A. ManogueAffiliated withDepartment of Physics, Oregon State University

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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.