New algebraic structures in the \(C_{\lambda}\)-extended Hamiltonian system

DOI10.1016/S0375-9601(02)00291-8zbMath0994.81047arXivmath-ph/0309038MaRDI QIDQ1597239

E. H. El Kinani

Publication date: 12 May 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0309038

zbMATH Keywords

oscillator algebrasFairlie-Fletcher-Zachos algebraquantum U\(_t\)(sl(2)) algebra

Mathematics Subject Classification ID

Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (1)

ON THE C_λ-EXTENDED w_∞-SYMMETRY

Cites Work

• \(q\)-deformation of the Virasoro algebra with central extension
• Quantum group symmetries and non-local currents in 2D QFT
• \(C_ \lambda\)-extended oscillator algebras and some of their deformations and applications to quantum mechanics.
• \(R\)-deformed Heisenberg algebra, quantum mechanics, and Virasoro algebra.
• Generalised harmonic oscillator systems and their Fock space description
• LANDAU LEVELS AND QUANTUM GROUP
• Pseudo-Differential Operators $(\psi{\cal D}{\cal O})$ Algebra and Certain Infinite-Dimensional Lie Algebras
• HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID
• Exchange operator formalism for integrable systems of particles
• REDUCIBILITY AND BOSONIZATION OF PARASUPERSYMMETRIC AND ORTHOSUPERSYMMETRIC QUANTUM MECHANICS
• Realization of \(w_\infty\)-algebras and \(U_q(sl(2))\) in terms of generalized Clifford algebras

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