Quaternionic Version of Rotation Groups

Abstract

<p>Quaternionic version of rotation group SO(3) has been constructed. We construct<br />a quatenionic version of rotation operation that act to a quaternionic version of a<br />space coordinate vector. The computation are done for every rotation about each<br />coordinate axes (x,y, and z). The rotated quaternionic space coordinate vector con-<br />tain some unknown constants which determine the quaternionic rotation operator.<br />By solving for that constants, we get the expression of the quaternionics version<br />of the rotation operator. Finally the generators of th</p>