Finding 3x3 Hermitian Matrices over the Octonions with Imaginary Eigenvalues
Rings and Algebras
2009-06-18 v3
Abstract
We show that any 3-component octonionic vector which is purely imaginary, but not quaternionic, is an eigenvector of a 6-parameter family of Hermitian octonionic matrices, with imaginary eigenvalue equal to the associator of its elements.
Cite
@article{arxiv.0902.2722,
title = {Finding 3x3 Hermitian Matrices over the Octonions with Imaginary Eigenvalues},
author = {Henry Gillow-Wiles and Tevian Dray},
journal= {arXiv preprint arXiv:0902.2722},
year = {2009}
}
Comments
9 pages, 1 figure; this version fixes typos only