ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.27, no.2, pp.965-975, 2017 (SCI-Expanded)
Article / Article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Lie algebra, Planar displacement, Real-quaternion, Semi-quaternion, Unit tangent bundle, TRANSPOSITION ANTI-INVOLUTION, CLIFFORD
Gazi University Affiliated:
In this paper, semi-quaternions are studied with their basic properties. Unit tangent bundle of is also obtained by using unit semi-quaternions and it is shown that the set of all unit semi-quaternions based on the group operation of semi-quaternion multiplication is a Lie group. Furthermore, the vector space matrix of angular velocity vectors forming the Lie algebra of the group is obtained. Finally, it is shown that the rigid body displacements obtained by using semi-quaternions correspond to planar displacements in .