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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
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Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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[en] A COMPARATIVE STUDY OF INTEGRABLE SYSTEMS ON THE SPACES OF POLYGONS, MATRICES AND BUNDLES / [pt] ESTUDO COMPARATIVO DOS SISTEMAS INTEGRÁVEIS NOS ESPAÇOS DE POLÍGONOS, MATRIZES E FIBRADOSFABIOLA VALERIA CORDERO URIONA 22 November 2021 (has links)
[pt] O espaço de polígonos de um grupo de Lie é definido como a redução
simplética em um produto de órbitas pela ação coadjunta.
Neste trabalho comparamos alguns sistemas integráveis definidos em
espaços de módulos de polígonos, matrizes e fibrados, tais como o sistema
de Kapovich–Millson, o modelo de Gaudin e a aplicação de Hitchin. / [en] The Polygon Space of a Lie group is defined as the symplectic reduction
of a product of orbits by the coadjoint action.
In this work we compare integrable systems defined on different moduli
spaces of polygons, matrices and bundles, such as Kapovich–Millson s system,
Gaudin s model and the Hitchin s map.
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