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Título:
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Some remarks on Lagrangian and Poisson reduction for field theories
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Autores:
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Castrillón López, Marco ;
Marsden, Jerrold E.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2003-10
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equations is described. When the fiber bundle is a G-principal bundle and the Hamiltonian density is G-invariant, the reduction of this formulation is studied thus obtaining the analog of the Lie-Poisson reduction for field theories. The relation of this reduction with the Lagrangian reduction and the Lagrangian and Poisson reduction for electromagnetism are also analyzed.
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En línea:
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https://eprints.ucm.es/id/eprint/23323/1/castrill%C3%B3n150pdf.pdf
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