What does it mean for particles to "be" the irreducible unitary representations of the Poincare group?
Why does one study the representations of Lorentz group instead of studying only the representations of Poincare group?
Why aren't infinite-dimensional representations of the Poincaré group classified by *two* half-integers?
Why does having a representation of the Poincaré algebra imply conservation of energy, momentum and angular momentum?
Are particles in curved spacetime still classified by irreducible representations of the Poincare group?
GR as a gauge theory: there's a Lorentz-valued spin connection, but what about a translation-valued connection?
What is the matrix representation of the momentum operator (generator of translations) that is used in the commutators of the Poincaré Group?
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