On the Gelfand–Dickey algebra GD(SLn) and the W n-symmetry. I. The bosonic case

DOI10.1063/1.530461zbMath0814.46068OpenAlexW1987367333MaRDI QIDQ4314286

Moulay Brahim Sedra, El Hassan Saidi

Publication date: 20 November 1994

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

Full work available at URL: https://doi.org/10.1063/1.530461

zbMATH Keywords

conformal field theoriesquantum numbersGelfand-Dickey bracket\(W_ n\)- symmetry Poissonalgebra of nonlinear local and nonlocal differential operators

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of functional analysis in quantum physics (46N50)

Related Items (4)

On the huge Lie superalgebra of pseudo-superdifferential operators and super KP-hierarchies ⋮ GELFAND–DICKEY ALGEBRA AND HIGHER SPIN SYMMETRIES ON T² = S¹ × S¹ ⋮ Embedding integrable superspin chain in string theory ⋮ Refining the shifted topological vertex

Cites Work

• Higher spin fields and the Gelfand-Dickey algebra
• A short proof of a Kupershmidt-Wilson theorem
• Lie algebras and equations of Korteweg-de Vries type
• Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
• Algebraic aspects of nonlinear differential equations
• Hamiltonian operators and infinite-dimensional Lie algebras
• Classical \(W\)-algebras
• Generalized Drinfel'd-Sokolov hierarchies
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Supersymmetric extension of the Korteweg–de Vries equation

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