Dual Quaternion Involutions and Anti-Involutions

Bekar M., Yayi Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.23, no.3, pp.577-592, 2013 (SCI-Expanded) identifier identifier


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 conjugate and total conjugate are defined for a dual quaternion and these conjugates are used in some transformations in order to check whether involution or anti-involution axioms are being satisfied or not by these transformations. Finally, geometric interpretations of real quaternion and dual quaternion involutions and anti-involutions are given.