Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)

2012/04/11 by Mehdi Jafarı, Yusuf Yaylı, Jafari, Mehdi +1
Computer Science · Engineering · Mathematics · #Algebraic and Geometric Analysis #Control and Dynamics of Mobile Robots #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.1204.2476

openalex publication_date 2012/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper explains how a unit generalized quaternion is used to represent a rotation of a vector in 3-dimensional space. We review of some algebraic properties of generalized quaternions and operations between them and then show their relation with the rotation matrix.

Citations

• Some properties of the symbol algebras

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