Quantum Spheres for OSp_q(1/2)

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dc.creatorAizawa, N.
dc.creatorChakrabarti, R.
dc.date2005-07-22
dc.date.accessioned2026-07-07T06:22:43Z
dc.date.available2026-07-07T06:22:43Z
dc.descriptionUsing the corepresentation of the quantum supergroup OSp_q(1/2) a general method for constructing noncommutative spaces covariant under its coaction is developed. In particular, a one-parameter family of covariant algebras, which may be interpreted as noncommutative superspheres, is constructed. It is observed that embedding of the supersphere in the OSp_q(1/2) algebra is possible. This realization admits infinitesimal characterization a la Koornwinder. A covariant oscillator realization of the supersphere is also presented.
dc.description30pages, no figure. to be published in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/math/0507468
dc.identifierhttp://arxiv.org/abs/math/0507468
dc.identifierJ. Math. Phys. 46, 103510 (2005) (25 pages)
dc.identifierdoi:10.1063/1.2042969
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95994
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleQuantum Spheres for OSp_q(1/2)
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