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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the 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.
1

[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 FIBRADOS

FABIOLA 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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