Quantum spheres for OSpq(1∕2) | Zendy

N. Aizawa | Zendy; R. Chakrabarti | Zendy

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Quantum spheres for OSpq(1∕2)

Author(s) -

N. Aizawa,

R. Chakrabarti

Publication year - 2005

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.2042969

Subject(s) - noncommutative geometry , covariant transformation , realization (probability) , infinitesimal , pure mathematics , mathematics , embedding , quantum , characterization (materials science) , noncommutative algebraic geometry , noncommutative quantum field theory , mathematical physics , subalgebra , quantum differential calculus , algebra over a field , quantum mechanics , physics , mathematical analysis , statistics , artificial intelligence , computer science , optics

Using the corepresentation of the quantum supergroup OSp_q(1/2) a generalmethod for constructing noncommutative spaces covariant under its coaction isdeveloped. In particular, a one-parameter family of covariant algebras, whichmay be interpreted as noncommutative superspheres, is constructed. It isobserved that embedding of the supersphere in the OSp_q(1/2) algebra ispossible. This realization admits infinitesimal characterization a laKoornwinder. A covariant oscillator realization of the supersphere is alsopresented.Comment: 30pages, no figure. to be published in J. Math. Phy

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