Quaternions, Clifford Algebras and Relativistic Physics

• Main Author: Girard, Patrick R. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Subjects: Mathematics.; Algebra.; Associative rings.; Rings (Algebra).; Group theory.; Topological groups.; Lie groups.; Physics.; Gravitation.; Classical and Quantum Gravitation, Relativity Theory.; Associative Rings and Algebras.; Group Theory and Generalizations.; Topological Groups, Lie Groups.; Mathematical Methods in Physics.

The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have priviledged a geometric approach, the author uses an algebraic approach which can be introduced as a tensor product of quaternion algebras and provides a unified ca...

Table of Contents:

• Quaternions
• Rotation groups SO(4) and SO(3)
• Complex quaternions
• Clifford algebra
• Symmetry groups
• Special relativity
• Classical electromagnetism
• General relativity
• Conclusion.