The Schwinger Representation of a Group: Concept and Applications

@article{Chaturvedi2006TheSR,
  title={The Schwinger Representation of a Group: Concept and Applications},
  author={S. Chaturvedi and Giuseppe Marmo and N. Mukunda and R.Simon and Alessandro Zampini},
  journal={Reviews in Mathematical Physics},
  year={2006},
  volume={18},
  pages={887-912}
}
The concept of the Schwinger Representation of a finite or compact simple Lie group is set up as a multiplicity-free direct sum of all the unitary irreducible representations of the group. This is abstracted from the properties of the Schwinger oscillator construction for SU(2), and its relevance in several quantum mechanical contexts is highlighted. The Schwinger representations for SU(2), SO(3) and SU(n) for all n are constructed via specific carrier spaces and group actions. In the SU(2… 

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