The quantum superalgebra Uq(osp(1/2n)): deformed para-Bose operators and root of unity representations

DOI10.1088/0305-4470/28/9/019zbMath0853.17017arXivq-alg/9501020OpenAlexW2016068798MaRDI QIDQ4847251

Tchavdar D. Palev, Joris Van der Jeugt

Publication date: 31 October 1995

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

Full work available at URL: https://arxiv.org/abs/q-alg/9501020

zbMATH Keywords

quantum superalgebraPoincaré-Birkhoff-Witt basisHopf subalgebraCartan-Weyl basisdeformed para-Bose operatorsirreducible finite-dimensional unitary Fock representationLie superalgebra \(osp (1/2n)\)pre-oscillator operators

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) Graded Lie (super)algebras (17B70)

Related Items (8)

Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map ⋮ LUSZTIG SYMMETRIES AND AUTOMORPHISMS OF QUANTUM SUPERALGEBRAS U_q(osp(1|2r)) ⋮ On enveloping skew fields of some Lie superalgebras ⋮ Highest weight irreducible representations of the Lie superalgebra gl(1|∞) ⋮ Geometry and representations of the quantum supergroup OSPq(1|2n) ⋮ Homogeneous localizations of some quantum enveloping superalgebras ⋮ Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \large𝔬𝔰𝔭(1,2𝔫) ⋮ Integrable representations of \(U_q(\text{osp}(1,2n))\)

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