On parametrization of the symplectic quotient of the Cartesian product of coadjoint orbits of the complex general linear group with respect to its diagonal action

DOI10.1007/s10958-019-04498-1zbMath1429.53094OpenAlexW2972612641MaRDI QIDQ2011302

Mikhail Vasilievich Babich

Publication date: 6 December 2019

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

Full work available at URL: https://doi.org/10.1007/s10958-019-04498-1

zbMATH Keywords

symplectic reductiongeneral linear groupMarsden-Weinstein quotient

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Basic linear algebra (15A99)

Cites Work

• Unnamed Item
• 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

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