The Lorentz Group and its Representations

  • K. N. Srinivasa Rao
Part of the Texts and Readings in Physical Sciences book series


One knows from the Special Theory of Relativity that space-time transformations between two inertial frames having uniform relative motion are called Lorentz transformations. If, for example, two inertial systems K(x, y, z) and K′(x′, y′, z′) with respective time measures t and t′ are coincident at t = t′ = 0 and K′ moves with a uniform velocity (0, 0, v) along the common zz′ axis with respect to K such that the xx′ and yy′ axes are respectively parallel.


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  1. 1.
    I.M. Gelfand, R.A. Minlos and Z.Ya. Shapiro, Representations of the Rotation and Lorentz Groups and their Applications, New York, Pergamon Press, 1963.Google Scholar
  2. 2.
    I.M. Gelfand, M.I. Graev and N.Ya. Vilenkin, Generalised Functions, vol 5, New York, Academic Press. 1966.Google Scholar
  3. 3.
    M.A. Naimark, Linear Representations of the Lorentz Group, New York, Pergamon Press, 1964.zbMATHGoogle Scholar
  4. 4.
    E.P. Wigner, Unitary Representations of the Inhomogeneous Lorentz Group, Ann. Math, 40, 149 (1939)ADSMathSciNetCrossRefzbMATHGoogle Scholar

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© Hindustan Book Agency 2006

Authors and Affiliations

  • K. N. Srinivasa Rao
    • 1
  1. 1.BangaloreIndia

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