Advertisement

Symmetry

  • M.D. Maia
Chapter

Abstract

Weyl’s classic book on symmetry conveys the idea that the notion of symmetry is not just an art or an invention of the mind, but part of the observational structure of nature [59]. However, the awareness of the importance of symmetry in physics became clear only after the debate on the negative result of the Michelson–Morley experiment and the subsequent interpretation of the relative motion between observers and observables given by Einstein. This interpretation led us to the emergence of the Poincaré symmetry. From then on, the structure of Lie symmetry has become the essential tool to the understanding of the fundamental interactions.

Keywords

Linear Representation Structure Constant Representation Space Adjoint Representation Casimir Operator 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 30.
    Eugene Wigner, Ann. Math. 40, 149 (1939).CrossRefGoogle Scholar
  2. 59.
    Hermann Weyl, Symmetry, Princeton University Press, Princeton, NJ (1952).MATHGoogle Scholar
  3. 60.
    Sophus Lie & Georg Scheffers, Vorlesungen über continuerliche Gruppen, B. G. Teubner, Leipzig (1893).Google Scholar
  4. 61.
    Pierre Ramond, arXiv:hep-th/0301050v1 (2003).Google Scholar
  5. 62.
    V. S. Varadarajan, Lie Groups, Lie Algebras, and Their Representations, Prentice-Hall, Englewood Cliffs, NJ (1975).Google Scholar
  6. 63.
    N. Hammermesh, Group Theory and Its Application to Physical Problems, Dover, New York, NY (1962).Google Scholar
  7. 64.
    Gursey, Introduction to Group Theory, In Relativity, Groups and Topology, Proceedings of the Les Houches Summer School, C. DeWitt & B. DeWitt (Eds.), Gordon and Breach, New York (1963).Google Scholar
  8. 65.
    Wilhelm Killing, Math. Ann. 31, 252–290 (1888).MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Universidade de Brasilia, Institute of PhysicsBrasilia D.F.Brazil

Personalised recommendations