STABILIZER ORBIT OF VIRASORO ACTION AND INTEGRABLE SYSTEMS

DOI10.1142/S0219887805000429zbMath1107.17018MaRDI QIDQ4674089

Partha Guha

Publication date: 9 May 2005

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

zbMATH Keywords

Bott-Virasoro groupprojective vector fieldKirillov local algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (3)

Orders and dimensions for sl(2) or sl(3) module categories and boundary conformal field theories on a torus ⋮ Symmetry reductions and exact solutions of two new generalized negative KdV type equations ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit

Cites Work

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• Unitary representations of some infinite dimensional groups
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• A discrete Pinney equation
• A shallow water equation as a geodesic flow on the Bott-Virasoro group
• Geodesic flows on diffeomorphism groups with Sobolev metrics and integrable systems
• Euler equations on homogeneous spaces and Virasoro orbits
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• Diffeomorphism, periodic KdV and C. Neumann system
• On Equations Which Describe Pseudospherical Surfaces
• On equations of type u x t=F(u,u x) which describe pseudospherical surfaces
• On a unified approach to transformations and elementary solutions of Painlevé equations
• Geodesic flow on (super-) Bott–Virasoro group and Harry Dym family
• Rational Solutions of Painlevé Equations

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