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A rigorous algebraic description of the notion of realization, specialized inthe case of Lie superalgebras is given. The idea of the Relative Parabose set$P_{BF}$ is recalled together with some recent developments and its braidedgroup structure is established together with an extended discussion of its($\mathbb{Z}_{2} \times \mathbb{Z}_{2}$)-grading. The final result of the paperemploys $P_{BF}$ in order to realize an arbitrary Lie superalgebra. It isfurthermore shown that the constructed realization is a $\mathbb{Z}_{2}$-gradedHopf algebra homomorphism. Virtual applications in pure mathematics andtheoretical physics as well are outlined.

Mixed Paraparticles, Colors, Braidings and a new class of Realizations for Lie superalgebras