Involutions in Semi-Quaternions

@inproceedings{Bekar2016InvolutionsIS,
  title={Involutions in Semi-Quaternions},
  author={Murat Bekar and Yusuf Yaylı},
  year={2016}
}
Communicated by Abraham Ungar Abstract. Involutions are self-inverse and homomorphic linear mappings. Rotations, reflections and rigid-body (screw) motions in three-dimensional Euclidean space R can be represented by involution mappings obtained by quaternions. For example, a reflection of a vector in a plane can be represented by an involution mapping obtained by real-quaternions, while a reflection of a line about a line can be represented by an involution mapping obtained by dual-quaternions…