Symmetry | |
A Generalization of Quaternions and Their Applications | |
Hong-Yang Lin1  Marc Cahay1  Badri N. Vellambi1  Dennis Morris2  | |
[1] Department of Electrical Engineering and Computer Science, University of Cincinnati, Cincinnati, OH 45221, USA;Independent Researcher, Lockesley Avenue, Conisbrough, South Yorkshire DN12 2AA, UK; | |
关键词: quaternion; split-quaternion; non-commutative division algebra; | |
DOI : 10.3390/sym14030599 | |
来源: DOAJ |
【 摘 要 】
There are a total of 64 possible multiplication rules that can be defined starting with the generalized imaginary units first introduced by Hamilton. Of these sixty-four choices, only eight lead to non-commutative division algebras: two are associated to the left- and right-chirality quaternions, and the other six are generalizations of the split-quaternion concept first introduced by Cockle. We show that the
【 授权许可】
Unknown