Event Detail

Event Type: 
Friday, May 26, 2017 - 10:00 to 12:00
Valley Library Willamette West Room

The goal of this paper is to solve and classify linear equations with octonionic coefficients and octonionic variables. While building up to the octonions we also classify linear equations over the quaternions and show how to relate the linear equations over the quaternions and octonions to matrices. We also construct a basis of linear equations that maps to the canonical basis of matrices for each space. Finally, we discuss automorphisms of the octonions, a subset of the linear equations.

Alex's major professor is Prof. Tevian Dray.