Classical integrable finite-dimensional systems related to Lie algebras

Classical integrable finite-dimensional systems related to Lie algebras

Source :

• Physics Reports [ 0370-1573 ] ; 1981.

English descriptors

• KwdEn :
  • Abstract hamiltonian systems, Acts transitively, Additional integrals, Adjoint, Adjoint representation, Algebra, Algebraic, Algebraic curve, Algebraic geometry, An_i, Angular momentum, Appi, Automorphism, Bracket, Calogero, Canonical, Canonical transformation, Cartan, Cartan decomposition, Cartan subalgebra, Characteristic polynomial, Classical integrable, Classical integrable systems, Classical mechanics, Classical polynomials, Classical systems, Coadjoint representation, Commutation rules, Complete integrability, Configuration space, Conservation laws, Const, Constant matrix, Cotangent, Cotangent bundle, Coxeter, Coxeter group, Determinant, Diagonal elements, Diagonal matrices, Differential equations, Dihedral group, Dual space, Dynamical, Dynamical system, Dynamical systems, Eigenvalue, Elliptic, Elliptic functions, Equation, Equilibrium configuration, Equilibrium configurations, Euler, Euler equation, Euler equations, Exact results, Exact solution, Exact symplectic action, Explicit expression, Explicit formulae, Explicit integration, Explicit solution, Explicit solutions, Finite groups, Free motion, Functional equation, General case, Geodesic, Geodesic flow, Geodesic flows, Geodesic line, Hamiltonian, Hamiltonian system, Hamiltonian systems, Hermite polynomials, Hermitian, Hermitian matrices, Hermitian matrix, Holomorphic differentials, Homogeneous space, Horospheric, Horospheric projection, Ideal fluid, Initial values, Integrability, Integrable, Integrable hamiltonian systems, Integrable problems, Integrable systems, Involutive, Involutive automorphism, Irreducible, Isotropy, Isotropy subgroup, Jacobi, Jacobi manifold, Jacobi variety, Lattice, Lett, Liouville theorem, Lobachevsky plane, Math, Matrix, Matrix elements, Maximal root, Moser, Negative curvature, Nonlinear, Nonlinear equations, Normal form, Normal modes, Nuovo, Olchanetsky, Olshanetsky, Other hand, Other words, Perelomov, Periodic toda lattice, Permutation, Permutation group, Phase space, Phys, Poisson, Poisson brackets, Positive curvature, Positive roots, Potential energy, Pure appi, Quadratic pair potentials, Rational solutions, Riemann, Rigid body, Root system, Root systems, Rotation group, Simple roots, Small oscillations, Solvable, Solvable problems, Special case, Special cases, Spectral parameter, Stationary subgroup, Subalgebra, Subgroup, Subset, Subsystem, Such systems, Symmetric, Symmetric matrix, Symmetric pair, Symmetric space, Symmetric spaces, Symplectic, Symplectic manifold, Symplectic structure, Tangent space, Toda, Toda lattice, Unit determinant, Unitary transformation, Upper sheet, Vector field, Vector space, Vries, Vries equation, Weierstrass, Weyl, Weyl chamber, Weyl group.
• Teeft :
  • Abstract hamiltonian systems, Acts transitively, Additional integrals, Adjoint, Adjoint representation, Algebra, Algebraic, Algebraic curve, Algebraic geometry, An_i, Angular momentum, Appi, Automorphism, Bracket, Calogero, Canonical, Canonical transformation, Cartan, Cartan decomposition, Cartan subalgebra, Characteristic polynomial, Classical integrable, Classical integrable systems, Classical mechanics, Classical polynomials, Classical systems, Coadjoint representation, Commutation rules, Complete integrability, Configuration space, Conservation laws, Const, Constant matrix, Cotangent, Cotangent bundle, Coxeter, Coxeter group, Determinant, Diagonal elements, Diagonal matrices, Differential equations, Dihedral group, Dual space, Dynamical, Dynamical system, Dynamical systems, Eigenvalue, Elliptic, Elliptic functions, Equation, Equilibrium configuration, Equilibrium configurations, Euler, Euler equation, Euler equations, Exact results, Exact solution, Exact symplectic action, Explicit expression, Explicit formulae, Explicit integration, Explicit solution, Explicit solutions, Finite groups, Free motion, Functional equation, General case, Geodesic, Geodesic flow, Geodesic flows, Geodesic line, Hamiltonian, Hamiltonian system, Hamiltonian systems, Hermite polynomials, Hermitian, Hermitian matrices, Hermitian matrix, Holomorphic differentials, Homogeneous space, Horospheric, Horospheric projection, Ideal fluid, Initial values, Integrability, Integrable, Integrable hamiltonian systems, Integrable problems, Integrable systems, Involutive, Involutive automorphism, Irreducible, Isotropy, Isotropy subgroup, Jacobi, Jacobi manifold, Jacobi variety, Lattice, Lett, Liouville theorem, Lobachevsky plane, Math, Matrix, Matrix elements, Maximal root, Moser, Negative curvature, Nonlinear, Nonlinear equations, Normal form, Normal modes, Nuovo, Olchanetsky, Olshanetsky, Other hand, Other words, Perelomov, Periodic toda lattice, Permutation, Permutation group, Phase space, Phys, Poisson, Poisson brackets, Positive curvature, Positive roots, Potential energy, Pure appi, Quadratic pair potentials, Rational solutions, Riemann, Rigid body, Root system, Root systems, Rotation group, Simple roots, Small oscillations, Solvable, Solvable problems, Special case, Special cases, Spectral parameter, Stationary subgroup, Subalgebra, Subgroup, Subset, Subsystem, Such systems, Symmetric, Symmetric matrix, Symmetric pair, Symmetric space, Symmetric spaces, Symplectic, Symplectic manifold, Symplectic structure, Tangent space, Toda, Toda lattice, Unit determinant, Unitary transformation, Upper sheet, Vector field, Vector space, Vries, Vries equation, Weierstrass, Weyl, Weyl chamber, Weyl group.

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