Calogero-Moser spaces and an adelic \(W\)-algebra.
DOI10.5802/aif.2152zbMath1137.37327OpenAlexW2504803248MaRDI QIDQ2574199
Publication date: 18 November 2005
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_6_2069_0
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General spectral theory of ordinary differential operators (34L05) Infinite-dimensional Lie (super)algebras (17B65) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
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Cites Work
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- Differential equations in the spectral parameter
- Discrete bispectral Darboux transformations from Jacobi operators.
- Loop groups and equations of KdV type
- Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
- On a class of polynomials connected with the Korteweg-de Vries equation
- Three integrable Hamiltonian systems connected with isospectral deformations
- Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
- Bispectral algebras of commuting ordinary differential operators
- Some functions that generalize the Krall-Laguerre polynomials
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Right ideals of rings of differential operators
- The Weyl algebra, bispectral operators and dynamics of poles in integrable systems
- Automorphisms and ideals of the Weyl algebra
- Additional symmetries for integrable equations and conformal algebra representation
- A Lax representation for the vertex operator and the central extension
- Bispectral KP solutions and linearization of Calogero-Moser particle systems
- Highest weight modules over the \(W_{1+\infty}\) algebra and the bispectral problem
- Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
- Bispectral commutative ordinary differential operators.
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Hamiltonian group actions and dynamical systems of calogero type
- Tau-functions as highest weight vectors for algebra
- Algèbres commutatives d'opérateurs aux q-différences et systèmes de Calogero—Moser
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
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