Запис Детальніше

Geometry and Topology of Coadjoint Orbits of Semisimple Lie Groups

eKMAIR

Переглянути архів Інформація
 
 
Поле Співвідношення
 
Title Geometry and Topology of Coadjoint Orbits of Semisimple Lie Groups
 
Creator Bernatska, Julia
Holod, Petro
Бернадська, Юлія
Голод, Петро
 
Description 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.
 
Date 2009-10-12T15:58:46Z
2009-10-12T15:58:46Z
2008
 
Type Article
 
Identifier 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.
http://www.ekmair.ukma.edu.ua/handle/123456789/334
 
Language en
 
Relation Geometry, Integrability and Quantization-IX. - 2008.