Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras

Details Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras

2004-12-06

arxiv.org/abs/math-ph/0412016v2

J. Phys. A: Math. Gen. 38(2005), 6473-6484

Physics

Mathematical Physics

14 pages, final version

Scientific paper

10.1088/0305-4470/38/29/004

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.

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