Fundamental representations and algebraic properties of biquaternions or complexified quaternions
Rings and Algebras
2015-06-25 v1
Abstract
The fundamental properties of biquaternions (complexified quaternions) are presented including several different representations, some of them new, and definitions of fundamental operations such as the scalar and vector parts, conjugates, semi-norms, polar forms, and inner and outer products. The notation is consistent throughout, even between representations, providing a clear account of the many ways in which the component parts of a biquaternion may be manipulated algebraically.
Keywords
Cite
@article{arxiv.1001.0240,
title = {Fundamental representations and algebraic properties of biquaternions or complexified quaternions},
author = {Stephen J. Sangwine and Todd A. Ell and Nicolas Le Bihan},
journal= {arXiv preprint arXiv:1001.0240},
year = {2015}
}