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math-ph2012
Towards applications of graded Paraparticle algebras
K. Kanakoglou, A. Herrera-Aguilar
An outline is sketched, of applications of the ideas and the mathematical methods presented at the 19th symposium of the Hellenic Nuclear Physics Society (HNPS) in Thessaloniki, Ma…
math-ph2011★ 16 cited
Graded Fock--like representations for a system of algebraically interacting paraparticles
K. Kanakoglou, A. Herrera-Aguilar
We will present an algebra describing a mixed paraparticle model, known in the bibliography as "The Relative Parabose Set (\textsc{Rpbs})". Focusing in the special case of a single…
math-ph2010★ 10 cited
Super-Hopf realizations of Lie Superalgebras: Braided Paraparticle extensions of the Jordan-Schwinger map
K. Kanakoglou, C. Daskaloyannis, A. Herrera-Aguilar
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 inv…