On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group

DOI10.1007/s10958-021-05502-3zbMath1477.22003OpenAlexW3194385097MaRDI QIDQ1979498

Mikhail Vasilievich Babich

Publication date: 3 September 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05502-3

Mathematics Subject Classification ID

General properties and structure of complex Lie groups (22E10)

Cites Work

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• Birational Darboux coordinates on (co)adjoint orbits of \(\mathrm{GL}(N,\mathbb{C})\)
• About coordinates on the phase spaces of the Schlesinger system and the Garnier-Painlevé 6 system
• On birational Darboux coordinates on coadjoint orbits of classical complex Lie groups
• \(\mathcal R\)-matrix and Baxter \(\mathcal Q\)-operators for the noncompact \(\mathrm{SL}(N,\mathbb C)\) invariant spin chain