The embedding of \(U_q(sl(2))\) and sine algebras in generalized Clifford algebras

DOI10.1007/BF03041942zbMath0947.15018MaRDI QIDQ1975594

A. Ouarab, E. H. El Kinani

Publication date: 25 July 2000

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

zbMATH Keywords

generalized Clifford algebraquantum tori Lie algebraquantum universal enveloping algebra

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Clifford algebras, spinors (15A66)

Related Items (3)

A Clifford algebra associated to generalized Fibonacci quaternions ⋮ Some identities in algebras obtained by the Cayley-Dickson process ⋮ On extended umbral calculus, oscillator-like algebras and generalized Clifford algebra

Cites Work

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• Quantum group symmetries and non-local currents in 2D QFT
• Generalized Clifford algebras and hyperspin manifolds
• 2D fractional supersymmetry for rational conformal field theory: application for third-integer spin states
• FRACTIONAL SUPERSPACE FORMULATION OF GENERALIZED MECHANICS
• 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]
• Linearization of polynomials
• ON A GENERALIZED CLIFFORD ALGEBRA

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