From the \(w_\infty\)-algebra to its central extension: A \(\tau\)-function approach

DOI10.1016/0375-9601(94)00306-AzbMath0961.37514OpenAlexW1530480102MaRDI QIDQ1965046

Mark Adler, Pierre van Moerbeke, Takahiro Shiota

Publication date: 6 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(94)00306-a

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials, A matrix integral solution to \([P,Q=P\) and matrix Laplace transforms], String equations of the \( q \)-KP hierarchy, From the \(w_\infty\)-algebra to its central extension: A \(\tau\)-function approach, Quantum torus symmetry of the KP, KdV and BKP hierarchies, Random matrices, Virasoro algebras, and noncommutative KP., Symmetries and Reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies, Additional symmetries of constrained CKP and BKP hierarchies, Soliton theory, symmetric functions and matrix integrals, Random matrices, vertex operators and the Virasoro algebra, Universal two-parameter 𝒲_∞-algebra and vertex algebras of type 𝒲(2, 3, …, N), Additional symmetries and string equation of the CKP hierarchy, On the BKP hierarchy: Additional symmetries, Fay identity and Adler-Shiota-Van Moerbeke formula

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