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Lorentz Group, Poincaré Group, and Minkowski Geometry

  • Roman U. Sexl
  • Helmuth K. Urbantke

Abstract

As a consequence of the Principle of Relativity, the set P of transformations between inertial systems has a certain mathematical structure: composing two transformations from P gives a transformation from P again, and for each transformation from P there is a unique inverse in P. The set P therefore forms a group where the group multiplication law is given by the composition of transformations.

Keywords

Inertial Frame Lorentz Transformation Lorentz Group Vector Space Versus Covariant Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • Roman U. Sexl
    • 1
  • Helmuth K. Urbantke
    • 1
  1. 1.Institut für Theoretische PhysikUniversität WienViennaAustria

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