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math.SG2005
Gelfand-Zeitlin theory from the perspective of classical mechanics II
Bertram Kostant, Nolan Wallach
In this paper, Part II, of a two part paper we apply the results of [KW], Part I, to establish, with an explicit dual coordinate system, a commutative analogue of the Gelfand-Kiril…
math.SG2004
Gelfand-Zeitlin theory from the perspective of classical mechanics. I
Bertram Kostant, Nolan Wallach
A commutative Poisson subalgebra of the Poisson algebra of polynomials on the Lie algebra of n x n matrices over is introduced which is the Poisson analogue of the Gelfa…