Quaternion involutions and anti-involutions

  title={Quaternion involutions and anti-involutions},
  author={Todd A. Ell and Stephen J. Sangwine},
  journal={Comput. Math. Appl.},
  • T. Ell, S. Sangwine
  • Published 2 June 2005
  • Computer Science, Mathematics
  • Comput. Math. Appl.
Dual Quaternion Involutions and Anti-Involutions
An involution or anti-involution is a self-inverse linear mapping. In this paper, we present involutions and anti-involutions of dual quaternions. In order to do this, quaternion conjugate, dual
Involutions of Complexified Quaternions and Split Quaternions
An involution or anti-involution is a self-inverse linear mapping. Involutions and anti-involutions of real quaternions were studied by Ell and Sangwine [15]. In this paper we present involutions and
Involution Matrices of Real Quaternions
An involution or anti-involution is a self-inverse linear mapping. In this paper, we will present two real quaternion matrices, one corresponding to a real quaternion involution and one corresponding
Involutions in Dual Split-Quaternions
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Kinematics of Dual Quaternion Involution Matrices
Abstract: Rigid-body (screw) motions in three-dimensional Euclidean space R^3 can be represented by involution (resp. anti-involution) mappings obtained by dual-quaternions which are self-inverse and
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Biquaternion (Complexified Quaternion) Roots of −1
Abstract.The roots of −1 in the set of biquaternions (quaternions with complex components, or complex numbers with quaternion real and imaginary parts) are derived. There are trivial solutions (the


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