# Gradings, Braidings, Representations, Paraparticles: Some Open Problems

@article{Kanakoglou2012GradingsBR,
title={Gradings, Braidings, Representations, Paraparticles: Some Open Problems},
author={Konstantinos Kanakoglou},
journal={Axioms},
year={2012},
volume={1},
pages={74-98}
}
A research proposal on the algebraic structure, the representations and the possible applications of paraparticle algebras is structured in three modules: The first part stems from an attempt to classify the inequivalent gradings and braided group structures present in the various parastatistical algebraic models. The second part of the proposal aims at refining and utilizing a previously published methodology for the study of the Fock-like representations of the parabosonic algebra, in such a…
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