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Subalgebras of the Split Octonions

Creator:

Bentz, Lida

Abstract:

We classify the subalgebras of the split octonions, paying particular attention to the null subalgebras and their extensions.

Resource Type:

Capstone Project
Classifying Octonionic-Linear Operators

Creator:

Putnam, Alexander

Abstract:

The goal of this paper is to classify linear operators with octonionic coefficients and octonionic variables. While building up to the octonions we also classify linear operators over the quaternions and show how to relate the linear operators over the quaternions and octonions to matrices. We also construct a basis...

Resource Type:

Capstone Project