A superalgebra U q[osp(3/2)] generated by deformed paraoperators and its morphism onto a W q(1/1) Clifford–Weyl algebra

DOI10.1063/1.530328zbMath0785.17023OpenAlexW2008055525MaRDI QIDQ4276733

Tchavdar D. Palev

Publication date: 10 February 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530328

zbMATH Keywords

quantum groupgeneratorsLie superalgebraoscillator representationpara-Bose operatorsClifford-Weyl superalgebradeformed universal enveloping superalgebrasupercommutation relations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Superalgebras (17A70)

Related Items (3)

Recursively minimally-deformed oscillators ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Finite-dimensional representations of the quantum superalgebra Uq[gl(2/2). II. Nontypical representations at generic q]

Cites Work

• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
• Universal \(R\)-matrix for quantized (super)algebras
• Quantum Lie superalgebras and q-oscillators
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The q-deformed boson realisation of the quantum group SU(n)_qand its representations
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
• q-oscillator realizations of the metaplectic representation of quantum osp(3,2)
• Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis
• A Generalized Method of Field Quantization

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