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

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dc.creatorKanakoglou, K.
dc.creatorDaskaloyannis, C.
dc.date2009-01-27
dc.date.accessioned2026-07-07T12:51:31Z
dc.date.available2026-07-07T12:51:31Z
dc.descriptionBosons 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.
dc.description33 pages, Corrected a few misprints and typos of the journal version
dc.identifierhttps://arxiv.org/abs/0901.4320
dc.identifierhttp://arxiv.org/abs/0901.4320
dc.identifierJ.Math.Phys.48:113516,2007
dc.identifierdoi:10.1063/1.2816258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223010
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleParaboson quotients. A braided look at Green ansatz and a generalization
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