Double extensions of Lie algebras of Kac-Moody type and applications to some hamiltonian systems
type: Dataset
description: We shall describe some Lie algebras of Kac-Moody type, construct their double extensions, central and by derivations; in some cases, the corresponding Lie groups will also be constructed. The case of Lie algebra of unimodular vector fields will be studied in more details. We use the linear Poisson structure on their regular duals to construct generalizations of some in nite dimensional hamiltonian systems, such as magnetohydrodynamics.
issued: 2026-05-15T22:20:11.152176
language: en
modified: 2026-05-15T22:20:11.152181
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticspreprint
keyword: mathmath-mpmathematics-mathmathematical-physics-math-ph
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00705383

Double extensions of Lie algebras of Kac-Moody type and applications to some hamiltonian systems
type: Distribution
format: HTML
issued: 2026-05-15T22:20:11.235858
modified: 2026-05-15T22:20:11.139285
access URL: https://hal.science/hal-00705383

test_moissonnage_selune
type: Agent