Symmetries and Lagrangian time-discretizations of Euler equations

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dc.creatorPenskoi, Alexei V.
dc.date2004-07-15
dc.date.accessioned2026-07-07T06:21:43Z
dc.date.available2026-07-07T06:21:43Z
dc.descriptionIn the late 80s - early 90s J. Moser and A. P. Veselov considered Lagrangian discrete systems on Lie groups with additional symmetry conditions imposed on Lagrangians. They observed that such systems are often integrable time-discretizations of integrable Euler equations on these Lie groups. In recent papers we studied Lagrangian discrete systems with additional symmetry requirements on certain infinite-dimensional Lie groups. We will discuss some interesting properties of these systems.
dc.descriptionTalk given at the Workshop on Superintegrability in Classical and Quantum Systems (Montreal, 2002)
dc.identifierhttps://arxiv.org/abs/math-ph/0407029
dc.identifierhttp://arxiv.org/abs/math-ph/0407029
dc.identifierCRM Proc. Lecture Notes, 37 (2004), 145--153.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95686
dc.subjectMathematical Physics
dc.subject34K99, 22E65, 70H99
dc.titleSymmetries and Lagrangian time-discretizations of Euler equations
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