On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case
type: Item
instance of: scholarly article
title: On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case
zbMATH Open document ID: 1222.53080
DOI: 10.1090/S1061-0022-2011-01145-8
published in: St. Petersburg Mathematical Journal
publication date: 2011-07-18T00:00:00Z
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 17B08
zbMATH DE Number: 5925186
zbMATH Keywords: Darboux coordinates
zbMATH Keywords: symplectic form
zbMATH Keywords: Poisson bracket
zbMATH Keywords: coadjoint orbit
zbMATH Keywords: rationality
author: Mikhail Vasilievich Babich
author: S. É. Derkachov
MaRDI profile type: Publication
cites work: Geometrical aspects of Schlesinger's equation
cites work: Q3862133
cites work: About coordinates on the phase spaces of the Schlesinger system and the Garnier-Painlevé 6 system
cites work: Rational symplectic coordinates on the space of Fuchs equations \(m \times m\)-case
cites work: Reduction of symplectic manifolds with symmetry
cites work: \(\mathcal R\)-matrix and Baxter \(\mathcal Q\)-operators for the noncompact \(\mathrm{SL}(N,\mathbb C)\) invariant spin chain
cites work: Quantization of symplectic orbits of compact Lie groups by means of the functional integral
cites work: Q5693310
cites work: Canonical structure and symmetries of the Schlesinger equations
cites work: Q3679947
Recommended article: 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
Recommended article: THE SYMPLECTIC STRUCTURE OF THE ORBITS OF THE COADJOINT REPRESENTATION OF LIE ALGEBRAS OF TYPE $ E\times_\rho G$
Recommended article: Q3515840
Recommended article: Explicit equivariant quantization on coadjoint orbits of \(\text{GL}(n,\mathbb C)\)
Recommended article: Q3324696
Recommended article: On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group
Recommended article: Q4864511
Recommended article: The Gromov width of coadjoint orbits of the symplectic group
Recommended article: On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. I
Recommended article: The symplectic structure on the orbits of the co-adjoint representation is the differential of a rational 1-form
description: scientific article