The Octonionic Eigenvalue Problem

1998/07/22 by Tevian Dray, Corinne A. Manogue
Mathematics · #math.RA #msc:15A33 #msc:15A18 #msc:17A35 #msc:17C99

paper · pdf

published as Adv. Appl. Clifford Algebras 8, 341-364 (1998) · plain TeX (uses AMS fonts), 18 pages, 1 PS figure included with epsf

arxiv created 1998/07/22 · arxiv updated 2009/11/30

Abstract

We discuss the eigenvalue problem for 2x2 and 3x3 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.

Related

• Octonionic Hermitian Matrices with Non-Real Eigenvalues
• Some Properties of 3x3 Octonionic Hermitian Matrices with Non-Real Eigenvalues
• The Exceptional Jordan Eigenvalue Problem
• Finding 3x3 Hermitian Matrices over the Octonions with Imaginary Eigenvalues
• Orthonormal Eigenbases over the Octonions