Clifford Algebras

Geometric Modelling and Chain Geometries with Application in Kinematics
2015
ISBN: 978-3-658-07617-7
Verlag: Springer

Buch, Englisch, 216 Seiten, Format (B × H): 148 mm x 210 mm, Gewicht: 3102 g

After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry. Moreover, kinematic mappings for special Cayley-Klein geometries are developed. These mappings allow a description of existing kinematic mappings in a unifying framework.

Zielgruppe

Research

Autoren/Hrsg.

Klawitter, Daniel

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

Models and representations of classical groups.- Clifford algebras, chain geometries over Clifford algebras.- Kinematic mappings for Pin and Spin groups.- Cayley-Klein geometries.

Über Autor(innen)

Daniel Klawitter is a scientific assistant at the Institute of Geometry at the Technical University of Dresden, Germany.