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Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras
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Deformed parabose and parafermi algebras are revised and endowed with Hopf structure in a natural way. The noncocommutative coproduct allows for construction of parastatistics Fock-like representations, built out of the simplest deformed bose and fermi representations. The construction gives rise to quadratic algebras of deformed anomalous commutation relations which define the generalized Green ansatz.
Forward citations
Cited by 3 Pith papers
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Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework
Color Heisenberg-Lie (super)algebras graded by Z3×Z3 provide a unified framework for mixed-bracket parabosons and parafermions, reproducing s=3,6 braided Majorana qubit truncations and a new two-particle density signature.
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On the detectability of paraparticles beyond bosons and fermions
The paper argues that Z2xZ2-graded paraparticles are theoretically detectable through two-particle observables, and sketches a minimal experimental protocol.
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On braid statistics versus parastatistics
A report on results that claim to refute the conventionality of parastatistics using 2-bit paraparticles, plus a review of braided Majorana qubits for topological quantum computation.
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