Clifford Type Algebra Characteristics Investigation
Yakiv O. Kalinovsky, Dmitry V. Lande, Dr.Sc., Yuliya E. Boyarinova,, Alina S. Turenko
TL;DR
This paper explores the properties of antiquaternions, a hypercomplex extension of quaternions, including their conjugation, norm, zero divisors, and operational methods.
Contribution
It introduces and studies the properties of antiquaternions, expanding the understanding of hypercomplex number systems beyond quaternions.
Findings
Defined conjugation for antiquaternions
Analyzed the norm and zero divisors of antiquaternions
Described operations on antiquaternions
Abstract
The main properties of hypercomplex generalization of quaternion system as antiquaternion are presented in this article. Definitions and studied of antiquaternions conjugation are introduced, their norm and zero divisor, and how to perform operations on them.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematics and Applications · Polynomial and algebraic computation