High Quality Content by WIKIPEDIA articles! 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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