Generalizations of the Virasoro algebra and matrix Sturm-Liouville operators

DOI10.1016/S0393-0440(00)00023-1zbMath1020.17018OpenAlexW2091318612MaRDI QIDQ1840561

Patrick Marcel

Publication date: 26 July 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(00)00023-1

zbMATH Keywords

Sturm-Liouville operatorsVirasoro algebraLie superalgebrascoadjoint representation

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (5)

A category of restricted modules for the Ovisenko-Roger algebra ⋮ Looped cotangent Virasoro algebra and nonlinear integrable systems in dimension \(2+1\) ⋮ Aspects of infinite dimensional ℓ-super Galilean conformal algebra ⋮ Integrable geodesic flows and super polytropic gas equations ⋮ Realizations of conformal current-type Lie algebras

Cites Work

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• Korteweg - de Vries suoerequation as an Euler equation
• Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras
• Unitary representations of some infinite dimensional groups
• Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on \(S^1\)
• Extension of the Virasoro and Neveu-Schwarz algebras and generalized Sturm-Liouville operators
• Extensions of the Virasoro group and the Virasoro algebra by modules of tensor densities on \(S^ 1\)
• Extensions of the Neveu-Schwarz Lie superalgebra
• The geometry of the KdV equation

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