Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the representation theory of the Poincare group is an example of the representation theory of a Lie group that is neither a compact group nor a semisimple group. It is fundamental in theoretical physics. In a physical theory having Minkowski space as the underlying spacetime, the space of physical states is typically a representation of the Poincare group. (More generally, it may be a projective representation, which amounts to a representation of the double cover of the group.)

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