glq(n)-COVARIANT OSCILLATORS REALIZATION OF CERTAIN DEFORMED ALGEBRAS

DOI10.1142/S0217751X00000331zbMath0952.81008OpenAlexW2059102948MaRDI QIDQ4499326

E. H. El Kinani

Publication date: 30 August 2000

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x00000331

zbMATH Keywords

quantum hyperplanedeformed multiconformal algebrapara-Grassmann realizationquantum algebra \(U_q(sl(2))\)sine algebra

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)

Cites Work

• Trigonometric structure constants for new infinite-dimensional algebras
• Infinite-dimensional algebras, sine brackets, and SU(\(\infty)\)
• Twisted second quantization
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum group symmetries and non-local currents in 2D QFT
• Vertex operator representation of some quantum tori Lie algebras
• New quantum deformation of \(SL(2,\mathbb{C}{})\). Hopf algebra level
• Quantum \(SU(2)\) and \(E(2)\) groups. Contraction procedure
• PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS
• LANDAU LEVELS AND QUANTUM GROUP
• W_∞ AND SL_q(2) ALGEBRAS IN THE LANDAU PROBLEM AND CHERN-SIMONS THEORY ON A TORUS
• q-Area Preserving Algebras SDiff(T^k) and the Matrix Algebra $\bar a_{\infty}$
• Pseudo-Differential Operators $(\psi{\cal D}{\cal O})$ Algebra and Certain Infinite-Dimensional Lie Algebras
• AREA-PRESERVING DIFFEOMORPHISMS, W_∞ AND ${\mathcal U}_q [{\rm sl}(2)$ IN CHERN–SIMONS THEORY AND THE QUANTUM HALL SYSTEM]
• Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras
• Quantum group symmetry in multiple Chern - Simons theory on a torus

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