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arXiv · 0901.4320

Paraboson quotients. A braided look at Green ansatz and a generalization

K. Kanakoglou·C. Daskaloyannis
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Abstract

Bosons and Parabosons are described as associative superalgebras, with an infinite number of odd generators. Bosons are shown to be a quotient superalgebra of Parabosons, establishing thus an even algebra epimorphism which is an immediate link between their simple modules. Parabosons are shown to be a super-Hopf algebra. The super-Hopf algebraic structure of Parabosons, combined with the projection epimorphism previously stated, provides us with a braided interpretation of the Green's ansatz device and of the parabosonic Fock-like representations. This braided interpretation combined with an old problem leads to the construction of a straightforward generalization of Green's ansatz.

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K. Kanakoglou, C. Daskaloyannis. 2009-01-27. Paraboson quotients. A braided look at Green ansatz and a generalization. https://doi.org/10.1063/1.2816258

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