Generalized quaternions and their relations with Grassmann-Clifford procedure of doubling
Numerical Analysis
2014-12-30 v1 Complex Variables
Abstract
The class of non-commutative hypercomplex number systems (HNS) of 4-dimension, constructed by using of non-commutative Grassmann-Clifford procedure of doubling of 2-dimensional systems is investigated in the article and established here are their relationships with the generalized quaternions. Algorithms of performance of operations and methods of algebraic characteristics calculation in them, such as conjugation, normalization, a type of zero divisors are investigated. The considered arithmetic and algebraic operations and procedures in this class HNS allow to use these HNS in mathematical modeling.
Keywords
Cite
@article{arxiv.1412.8185,
title = {Generalized quaternions and their relations with Grassmann-Clifford procedure of doubling},
author = {Yakiv O. Kalinovsky and Yuliya E. Boyarinova and Alina S. Turenko and Yana V. Khitsko},
journal= {arXiv preprint arXiv:1412.8185},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1409.3193