Super‐Hopf realizations of Lie superalgebras: Braided Paraparticle extensions of the Jordan‐Schwinger map

@article{Kanakoglou2010SuperHopfRO,
  title={Super‐Hopf realizations of Lie superalgebras: Braided Paraparticle extensions of the Jordan‐Schwinger map},
  author={Konstantinos Kanakoglou and Costas Daskaloyannis and Alfredo Herrera-Aguilar},
  journal={arXiv: Mathematical Physics},
  year={2010},
  volume={1256},
  pages={193-200}
}
The mathematical structure of a mixed paraparticle system (combining both parabosonic and parafermionic degrees of freedom) commonly known as the Relative Parabose Set, will be investigated and a braided group structure will be described for it. A new family of realizations of an arbitrary Lie superalgebra will be presented and it will be shown that these realizations possess the valuable representation‐theoretic property of transferring invariably the super‐Hopf structure. Finally two classes… 
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