Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations.

A.G. Reymann; M. Semenov-Tian-Shansky

Displaying similar documents to “Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations.”

Reduction of Hamiltonian Systems, Affine Lie Algebras and Lax Equations II.

M. Semenov-Tian-Shansky, A.G. Reyman (1981)

Inventiones mathematicae

Similarity:

Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.

M.A. Olshanetsky, A.M. perelomov (1976)

Inventiones mathematicae

Similarity:

Basic Representations of Affine Lie Algebras and Dual Resonance Models.

V.G. Kac, I.B. Frenkel (1980/81)

Inventiones mathematicae

Similarity:

Kac-Moody groups and integrability of soliton equations.

Boris Feigin, Edward Frenkel (1995)

Inventiones mathematicae

Similarity:

Modifying Lax Equations and the Second Hamiltonian Structure.

B.A. Kupershmidt, George Wilson (1980/81)

Inventiones mathematicae

Similarity:

A Lie connection between Hamiltonian and Lagrangian optics.

Dragt, Alex J. (1997)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

Similarity:

Orbital theory for affine Lie algebras.

I.B. Frenkel (1984)

Inventiones mathematicae

Similarity:

An affine framework for analytical mechanics

Paweł Urbański (2003)

Banach Center Publications

Similarity:

An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.

Integrable representations of affine Lie-algebras.

V. Chari (1986)

Inventiones mathematicae

Similarity:

Lagrangians and hamiltonians on affine bundles and higher order geometry

Paul Popescu, Marcela Popescu (2007)

Banach Center Publications

Similarity:

The higher order bundles defined by an anchored bundle are constructed as a natural extension of the higher tangent spaces of a manifold. We prove that a hyperregular lagrangian (hyperregular affine hamiltonian) is a linearizable sub-lagrangian (affine sub-hamiltonian) on a suitable Legendre triple.

Hypersurface geometry and Hamiltonian systems of hydrodynamic type.

Miyaoka, R. (1999)

Lobachevskii Journal of Mathematics

Similarity:

(t2 - t)-Reciprocities on the Affine Line and Matsumoto's Theorem.

Frans Keune (1975)

Inventiones mathematicae

Similarity: