scientific article; zbMATH DE number 203216

zbMath0771.35056arXivhep-th/9311125MaRDI QIDQ4695114

Boris A. Khesin, Ilya Zakharevich

Publication date: 27 September 1993

Full work available at URL: https://arxiv.org/abs/hep-th/9311125

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zbMATH Keywords

Virasoro algebraPoisson-Lie structureAdler-Gelfand-Dickey structure

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (15)

Complex parametrized \(W\)-algebras: The \({\mathfrak {gl}}\) case ⋮ Formal pseudodifferential operators in one and several variables, central extensions, and integrable systems ⋮ Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups ⋮ The algebra of differential operators on the circle and \(W^{(q)}_{\text{KP}}\) ⋮ The equivariant Toda lattice ⋮ Infinite dimensional geometry and quantum field theory of strings. III: Infinite dimensional \(W\)-geometry of a second quantized free string ⋮ \(\mathcal{W}\) symmetry in six dimensions ⋮ On cohomology of the Lie algebra of pseudodifferential symbols on a circle ⋮ Poisson-Lie group of pseudodifferential symbols ⋮ Universal Drinfeld-Sokolov reduction and matrices of complex size ⋮ Symmetries of holographic minimal models ⋮ Asymptotic \( \mathcal{W} \)-symmetries in three-dimensional higher-spin gauge theories ⋮ Homologie de l'algèbre quantique des symboles pseudo-différentiels sur le cercle ⋮ Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems ⋮ Quasifinite highest weight modules over the Lie algebra of differential operators on the circle

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