Time-like definition of quaternions in exterior algebra

Abstract

A formal description of quaternions by means of exterior calculus is presented. Considering a three-dimensional space-time characterized by three time-like coordinates, we have been able to consistently recover a suitable formulation of quaternions by means of the properties arising from exterior algebra and calculus. As an application, it is also illustrated how rotations may be written in terms of quaternions, in accordance with definition provided in exterior algebra.

7 pages

References in corpus (4)

• An Introduction to Space-Time Exterior Calculus
• An exterior-algebraic derivation of the symmetric stress-energy-momentum tensor in flat space-time
• An Exterior Algebraic Derivation of the Euler-Lagrange Equations from the Principle of Stationary Action
• On the Angular Momentum and Spin of Generalized Electromagnetic Field for $r$-Vectors in $(k,n)$ Space-Time Dimensions

Cited by in corpus (1)

• On exterior-algebraic quaternions with application to Maxwell equations