Square roots of complexified quaternions

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Authors: A. Dargys, A. Acus
Cited by: 0

Abstract

Square roots of complexified (complex) quaternions, namely, the Hamilton quaternion, coquaternion, nectorine, and conectorine are investigated. The isomorphisms between the complex quaternions and 3-dimensional multivectors of Clifford algebras is employed for this purpose. Root examples for all named quaternions are presented from which follows that the complex quaternionic roots may assume discrete or continuous form, or there may be no roots at all.

Fields of Study & Subjects

Algebraic and Geometric Analysis Mathematics and Applications Advanced Topics in Algebra

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 January 2026
Document type
Preprint