Lie Group Theory
The final goal of this chapter is the derivation of the fundamental representations of the double cover of the Poincare group, which is assumed to be the fundamental symmetry group of spacetime. These fundamental representations are the tools needed to describe all elementary particles, each representation for a different kind of elementary particle. The representations will tell us what types of elementary particles exist in nature.
KeywordsIrreducible Representation Lorentz Transformation Double Cover Lorentz Group Symmetry Transformation
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