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

  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.},
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… 

On a class of Fock-like representations for Lie Superalgebras

Utilizing Lie superalgebra (LS) realizations via the Relative Parabose Set algebra $P_{BF}$, combined with earlier results on the Fock-like representations of $P_{BF}^{(1,1)}$, we proceed to the


The (G,�)-Lie algebras are structures which unify the Lie algebras and Lie superalgebras. We use them to produce solutions for the quantum Yang–Baxter equation. The constant and the

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An outline is sketched, of applications of the ideas and the mathematical methods presented at the 19th symposium of the Hnps in Thessaloniki, May 2010

Gradings, Braidings, Representations, Paraparticles: Some Open Problems

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Ladder Operators, Fock-Spaces, Irreducibility and Group Gradings for the Relative Parabose Set Algebra

The Fock-like representations of the Relative Parabose Set (Rpbs) algebra in a single parabosonic and a single parafermionic degree of freedom are investigated. It is shown that there is an innite



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