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Forums
Physics
Quantum Physics
Matrix Representations of the Poincare Group
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[QUOTE="A. Neumaier, post: 6354608, member: 293806"] To get the Poincare group you need to take a semidirect product with the translation group. This means that you get a 5-dimensional representation by 5x5 matrices ##\pmatrix{A & t \cr 0 & 1}##, where ##A## is a Lorentz transformation and ##t## a translation vector. The relevant orbit of this matrix action is the set of 5D vectors ##\pmatrix{x \cr 1}##, where ##x## is a point in Minkowski space. [/QUOTE]
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Quantum Physics
Matrix Representations of the Poincare Group
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