Geodesic
On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 28-39 
M. V. Babich. On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 28-39. http://geodesic.mathdoc.fr/item/ZNSL_2019_487_a1/
@article{ZNSL_2019_487_a1,
     author = {M. V. Babich},
     title = {On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {28--39},
     year = {2019},
     volume = {487},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_487_a1/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The problem of the extensions of the canonical Lee–Poisson–Kirillov–Kostant symplectic structure of the coadjoint orbit of the complex general linear group is considered. The introduced method uses the concept of the flag coordinates and does not depend on the Jordan structure of matrices forming the orbit. The principal bundle associated with the fibration of the orbit over the Grassmanian of flags is constructed.

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