Algebraic and geometric structures of Special Relativity
Abstract
I review, some of the algebraic and geometric structures that underlie the theory of Special Relativity. This includes a discussion of relativity as a symmetry principle, derivations of the Lorentz group, its composition law, its Lie algebra, comparison with the Galilei group, Einstein synchronization, the lattice of causally and chronologically complete regions in Minkowski space, rigid motion (the NoetherHerglotz theorem), and the geometry of rotating reference frames. Representationtheoretic aspects of the Lorentz group are not included. A series of appendices present some related mathematical material.
 Publication:

arXiv eprints
 Pub Date:
 February 2006
 arXiv:
 arXiv:mathph/0602018
 Bibcode:
 2006math.ph...2018G
 Keywords:

 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 83A05
 EPrint:
 66 pages, 4 figures