Quommutator deformations of spl(N,1)

DOI10.1063/1.532499zbMath0927.17005arXivq-alg/9703039OpenAlexW2077691861MaRDI QIDQ4701687

Yves Brihaye

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/q-alg/9703039

zbMATH Keywords

finite difference operatorsLie superalgebrasfinite-dimensional representationsquasiexactly solvable, finite difference equationsWitten-Woronowicz type deformations

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) Additive difference equations (39A10)

Cites Work

• Multiparameter associative generalizations of canonical commutation relations and quantized planes
• Quantal problems with partial algebraization of the spectrum
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Compact matrix pseudogroups
• \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
• Quasi-exactly-solvable problems and sl(2) algebra
• Algebraization of difference eigenvalue equations related to \(U_q(\text{sl}_2)\)
• CENTRAL POTENTIALS AND EXAMPLES OF HIDDEN ALGEBRA STRUCTURE
• Quasi-exactly solvable Lie algebras of differential operators in two complex variables
• Lie algebras and polynomials in one variable
• Quasiexactly solvable 2×2 matrix equations
• On certain quantum deformations of gl(N,R)
• A (p,q) deformation of the universal enveloping superalgebra U(osp(2/2))
• The structure of quasi-exactly solvable systems

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