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Introduction to Compact Simple Lie Groups

  • N. Mukunda
Part of the Fundamental Theories of Physics book series (FTPH, volume 29)

Abstract

The purpose of this chapter is to give a brief and simple-minded introduction to Lie groups, and particularly compact simple Lie groups, since these are of considerable importance in particle physics, grand unification etc. The basic concepts of groups and group representations are assumed to be known — these include the definitions of a group, subgroup, normal subgroup, factor group, simple and semi-simple groups, Abelian and non-Abelian groups; homomorphisms and isomorphisms etc., irreducible representations, reducible decomposable or indecomposable representations, equivalence of representations, unitary and real ones, etc. Even while considering a group in the abstract, it helps to keep in mind some faithful matrix representations of it.

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References

  1. A. Salam, Formalism of Lie Groups, Trieste Lectures (1963).Google Scholar
  2. G. Racah, Group Theory and Spectroscopy, Princeton Lectures (1951).Google Scholar
  3. R. E. Behrends et al., Revs. Mod. Phys. 37, 1 (1962).MathSciNetADSCrossRefGoogle Scholar
  4. B. G. Wybourne, Classical Groups for Physicists, Wiley (1974).zbMATHGoogle Scholar
  5. H. Georgi, Lie Algebras in Particle Physics, Benjamin (1982).zbMATHGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • N. Mukunda
    • 1
  1. 1.Centre for Theoretical StudiesIndian Institute of ScienceBangaloreIndia

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