Elementary Proof of Moretti's Polar Decomposition Theorem for Lorentz Transformations

Details Elementary Proof of Moretti's Polar Decomposition Theorem for Lorentz Transformations Elementary Proof of Moretti's Polar Decomposition Theorem for Lorentz Transformations

2002-11-29

arxiv.org/abs/math-ph/0211077v1

Physics

Mathematical Physics

2 pages, LaTex

Scientific paper

A proof more elementary than the original one is given for Moretti's theorem
that the usual polar decomposition of real matrices when applied to an
orthochronous proper Lorentz matrix yields just its standard rotation-boost
decomposition. (The complex SL(2,C) analog is well-known.)

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