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Geometry and Topology of Coadjoint Orbits of Semisimple Lie Groups

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dc.contributor.author Bernatska, Julia
dc.contributor.author Holod, Petro
dc.date.accessioned 2009-10-12T15:58:46Z
dc.date.available 2009-10-12T15:58:46Z
dc.date.issued 2008
dc.identifier.citation Bernatska J. Geometry and Topology of Coadjoint Orbits of Semisimple Lie Groups / Julia Bernatska, Petro Holod // Geometry, Integrability and Quantization-IX. - 2008. - P. 146-166. en_US
dc.identifier.uri http://ekmair.ukma.edu.ua/handle/123456789/334
dc.description.abstract Orbits of coadjoint representations of classical compact Lie groups have a lot of applications. They appear in representation theory, geometrical quantization, theory of magnetism, quantum optics etc. As geometric objects the orbits were the subject of much study. However, they remain hard for calculation and application. We propose simple solutions for the following problems: an explicit parameterization of the orbit by means of a generalized stereographic projection, obtaining a Kählerian structure on the orbit, introducing basis two-forms for the cohomology group of the orbit. en_US
dc.language.iso en en_US
dc.title Geometry and Topology of Coadjoint Orbits of Semisimple Lie Groups en_US
dc.type Article en_US
dc.status published earlier en_US
dc.relation.source Geometry, Integrability and Quantization-IX. - 2008. en_US


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