Symplectic structures on coadjoint orbits of Lie groups
Abstract
This article is devoted to the explicit determination of symplecticstructures on coadjoint orbits of Lie groups. It will rst be devoted to
the study of adjoint and coadjoint orbits of a Lie group with an application
in the case of special orthogonal group SO(n). We will see how to determine
explicitly a symplectic structure on the orbit of the coadjoint representation
of a Lie group. Particular attention is given to the groups SO(3) and SO(4).
Mathematics Subject Classication (2010). 53D30, 70G65.
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References
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