q-oscillator realizations of the metaplectic representation of quantum osp(3,2)

DOI10.1063/1.529297zbMath0749.17012OpenAlexW1970631112MaRDI QIDQ3980872

Luc Vinet, Eric D'Hoker, Roberto Floreanini

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529297

zbMATH Keywords

metaplectic representation\(q\)-oscillator representationsquantum orthosymplectic superalgebra

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 (8)

A superalgebra U q[osp(3/2) generated by deformed paraoperators and its morphism onto a W q(1/1) Clifford–Weyl algebra] ⋮ The metaplectic representation of suq(1,1) and the q-Gegenbauer polynomials ⋮ Transformations of some induced osp(3/2) modules in an so(3)⊕sp(2) basis ⋮ Finite-dimensional representations of the quantum superalgebra U q[gl(2/2). I. Typical representations at generic q] ⋮ Differential operator realization of braid group action on ıquantum groups ⋮ Induced representations of the two parametric quantum deformation Upq[gl(2/2)] ⋮ \(q\)-orthogonal polynomials and the oscillator quantum group ⋮ Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))

Cites Work

• Compact matrix pseudogroups
• Quantum Lie superalgebras and q-oscillators
• Finite- and infinite-dimensional representations of the orthosymplectic superalgebra OSP(3,2)
• Representations of Osp(2, 1) and the metaplectic representation

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