The q-boson realization of parametrized cyclic representations of quantum algebras at q p = 1

DOI10.1063/1.529832zbMath0744.17012OpenAlexW2041042702MaRDI QIDQ3991984

Mo-Lin Ge, Hong-Chen Fu

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529832

zbMATH Keywords

quantum algebrascyclic representation\(q\)-boson realizations\(q\)-deformed Heisenberg-Weyl algebras

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)

Related Items (3)

Colored solutions of the Yang–Baxter equation from representations of Uqgl(2) ⋮ Construction of cyclic representations of quantum algebras at \(q^ p=1\) from their regular representations ⋮ THE q-BOSON REALIZATIONS OF THE QUANTUM GROUP U_q(C_n)

Cites Work

• Irreducible representations of the quantum analogue of SU(2)
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• The universal R-matrix for \(U_ qsl(3)\) and beyond!
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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The cyclic representations of the quantum superalgebra \(U_ q\)osp(2,1) with \(q\) a root of unity
• \(R\)-matrix for cyclic representations of \(U_ q(\widehat{{\mathfrak sl}}(3,{\mathbb{C}}))\) at \(q^ 3=1\)
• Quantum Lie superalgebras and q-oscillators
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• New inhomogeneous boson realizations and inhomogeneous differential realizations of Lie algebras
• Structure of regular representation of quantum universal enveloping algebra SL_q(2) with q^p=1*
• 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
• On the q oscillator and the quantum algebra su_q(1,1)
• Comment on the q-analogues of the harmonic oscillator

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