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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 487, Pages 28–39
(Mi znsl6899)
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On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group
M. V. Babichab a St. Petersburg Department of V. A. Steklov Mathematical Institute of Russian Academy of Science
b St. Petersburg University
Abstract:
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.
Key words and phrases:
symplectic reduction, Gauss decomposition, standard Jordan form, Lie–Poisson–Kirillov–Kostant form, flag coordinates.
Received: 28.11.2019
Citation:
M. V. Babich, “On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group”, Questions of quantum field theory and statistical physics. Part 26, Zap. Nauchn. Sem. POMI, 487, POMI, St. Petersburg, 2019, 28–39
Linking options:
https://www.mathnet.ru/eng/znsl6899 https://www.mathnet.ru/eng/znsl/v487/p28
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Statistics & downloads: |
Abstract page: | 98 | Full-text PDF : | 40 | References: | 13 |
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