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math.RA2020★ 2 cited
Factorization of Dual Quaternion Polynomials Without Study's Condition
Johannes Siegele, Martin Pfurner, Hans-Peter Schröcker
In this paper we investigate factorizations of polynomials over the ring of dual quaternions into linear factors. While earlier results assume that the norm polynomial is real ("mo…
math.DG2020
Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers
Johannes Siegele, Hans-Peter Schröcker, Martin Pfurner
We study an isomorphism between the group of rigid body displacements and the group of dual quaternions modulo the dual number multiplicative group from the viewpoint of differenti…