Birational Darboux coordinates on (co)adjoint orbits of \(\mathrm{GL}(N,\mathbb{C})\)

DOI10.1007/s10688-016-0124-5zbMath1346.22003arXiv1007.4880OpenAlexW2320416036MaRDI QIDQ302458

Mikhail Vasilievich Babich

Publication date: 8 July 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4880

zbMATH Keywords

Darboux coordinatesJordan normal formco-adjoint orbit

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General properties and structure of complex Lie groups (22E10) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (5)

Parametrization of a conjugacy class of the special linear group ⋮ On canonical parametrization of phase spaces of Isomonodromic Deformation Equations ⋮ On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group ⋮ 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 ⋮ Birational Darboux coordinates on nilpotent coadjoint orbits of classical complex Lie groups, the case of \(2 \times 2\) Jordan blocks

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• Geometrical aspects of Schlesinger's equation
• \(\mathcal R\)-matrix and Baxter \(\mathcal Q\)-operators for the noncompact \(\mathrm{SL}(N,\mathbb C)\) invariant spin chain
• Canonical structure and symmetries of the Schlesinger equations
• On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case

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