Continuum analogues of contragredient Lie algebras. (Lie algebras with a Cartan operator and nonlinear dynamical systems)
From MaRDI portal
Publication:582369
DOI10.1007/BF02125130zbMath0691.17012MaRDI QIDQ582369
Anatoly M. Vershik, Mikhail V. Saveliev
Publication date: 1989
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items
On the integrability problem of a continuous Toda system ⋮ A nonlinear dynamical system related to the contact Lie algebras ⋮ Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras ⋮ Reduction cohomology of Riemann surfaces ⋮ Generalized Toda field theories ⋮ Induced and effective gravity theories in \(D=2\). ⋮ Solution of the Cauchy problem for a continuous limit of the Toda lattice and its superextension ⋮ \(\mathcal W\) geometry from Fedosov's deformation quantization ⋮ SDiff(2) Toda equation --- hierarchy, tau function, and symmetries ⋮ Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter ⋮ Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations ⋮ Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP hierarchy ⋮ The geometric nature of the Flaschka transformation ⋮ Integrable \((2+1)\)-dimensional systems of hydrodynamic type ⋮ \(\text{SU} (\infty)\) and the large-\(N\) limit ⋮ On some integrable generalizations of the continuous Toda system ⋮ Random half-order differential correlation functions ⋮ Quasiclassical limit of KP hierarchy, \(W\)-symmetries, and free fermions ⋮ Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials in one variable ⋮ Dynamical systems on quantum tori Lie algebras ⋮ The classical Toda lattice with long range interaction
Cites Work