Abstract
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 z − z′ axis with respect to K such that the x − x′ and y − y′ axes are respectively parallel.
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References
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.
I.M. Gelfand, M.I. Graev and N.Ya. Vilenkin, Generalised Functions, vol 5, New York, Academic Press. 1966.
M.A. Naimark, Linear Representations of the Lorentz Group, New York, Pergamon Press, 1964.
E.P. Wigner, Unitary Representations of the Inhomogeneous Lorentz Group, Ann. Math, 40, 149 (1939)
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© 2006 Hindustan Book Agency
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Rao, K.N.S. (2006). The Lorentz Group and its Representations. In: Linear Algebra and Group Theory for Physicists. Texts and Readings in Physical Sciences. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-32-3_10
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DOI: https://doi.org/10.1007/978-93-86279-32-3_10
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-64-7
Online ISBN: 978-93-86279-32-3
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