Super-Hopf realizations of Lie Superalgebras: Braided Paraparticle extensions of the Jordan-Schwinger map

@inproceedings{KKanakoglou2010SuperHopfRO,
  title={Super-Hopf realizations of Lie Superalgebras: Braided Paraparticle extensions of the Jordan-Schwinger map},
  author={K.Kanakoglou and C.Daskaloyannis and A. Herrera-Aguilar Ifm and Univ. of Michoacan and Morelia and Michoac{\'a}n and Mexico Aristotle Univ. of Thessaloniki and Thessaloniki and Greece.},
  year={2010}
}
The mathematical structure of a mixed paraparticle system ( co bining both parabosonic and parafermionic degrees of freedom) commonly known as the Relative Parabose Set, will be investigated and a braided group structure will be describe d for it. A new family of realizations of an arbitrary Lie superalgebra will be presented and it wil l be shown that these realizations possess the valuable representation-theoretic property o f transferring invariably the super-Hopf structure. Finally two… 

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