Finite-dimensional representations of \(U_ q(osp (1/2n))\) and its connection with quantum \(so(2n+1)\)

DOI10.1007/BF00398404zbMath0763.17019OpenAlexW1989674868MaRDI QIDQ1201377

Ruibin Zhang

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf00398404

zbMATH Keywords

quantum groupquantum supergroupnonspinorial representations

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)

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Cites Work

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• Quantum deformations of certain simple modules over enveloping algebras
• A remarkable connection between the representations of the Lie superalgebras osp(1,2n) and the Lie algebras o(2n+1)
• \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
• Finite-dimensional irreducible representations of the quantum superalgebra \(U_ q[gl(n/1)\)]
• Quantum Lie superalgebras and q-oscillators
• ALTERING THE SYMMETRY OF WAVE FUNCTIONS IN QUANTUM ALGEBRAS AND SUPERSYMMETRY