C_λ-extended oscillator algebra and parasupersymmetric quantum mechanics

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dc.creatorQuesne, C.
dc.creatorVansteenkiste, N.
dc.date1998-08-20
dc.date.accessioned2026-07-07T05:25:46Z
dc.date.available2026-07-07T05:25:46Z
dc.descriptionThe C_λ-extended oscillator algebra is generated by {1,a,a^{\dagger},N,T}, where T is the generator of the cyclic group C_λ of order λ. It can be realized as a generalized deformed oscillator algebra (GDOA). Its unirreps can thus be exhibited using the representation theory of GDOAs and their carrier space show a Z_λ grading structure. Within its infinite-dimensional Fock space representation, this algebra provides a bosonization of parasupersymmetric quantum mechanics of order p= λ- 1.
dc.description7 pages, LaTeX, no figures, submitted to 7th Int. Coll. ``Quantum Groups and Integrable Systems'', Prague, 18-20 June 1998 (to be published in Czech. J. Phys.)
dc.identifierhttps://arxiv.org/abs/math/9808092
dc.identifierhttp://arxiv.org/abs/math/9808092
dc.identifierCzech. J. Phys. 48 (1998) 1477-1482
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77306
dc.subjectQuantum Algebra
dc.titleC_λ-extended oscillator algebra and parasupersymmetric quantum mechanics
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