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Orthogonal decomposition of Lorentz transformations (1103.1072v2)
Published 5 Mar 2011 in gr-qc, math-ph, and math.MP
Abstract: The canonical decomposition of a Lorentz algebra element into a sum of orthogonal simple (decomposable) Lorentz bivectors is discussed, as well as the decomposition of a proper orthochronous Lorentz transformation into a product of commuting Lorentz transformations, each of which is the exponential of a simple bivector. As an application, we obtain an alternative method of deriving the formulas for the exponential and logarithm for Lorentz transformations.
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