Quadratic Forms and their Number Systems and Geometry
General Mathematics
2022-04-12 v1
Abstract
Quaternions, split quaternions, and hybrid numbers are very well-known number systems. These number systems are used to make geometry in Euclidean and Lorentz spaces. These number systems can be obtained with the help of a quadratic form. This article examines how to find the corresponding number system for any quadratic form. As a result of this examination, bilinear form, vector product, skew-symmetric matrix, and rotation matrices corresponding to any number system were obtained.
Cite
@article{arxiv.2204.05115,
title = {Quadratic Forms and their Number Systems and Geometry},
author = {İskender Öztürk},
journal= {arXiv preprint arXiv:2204.05115},
year = {2022}
}
Comments
19 pages, 0 figures