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A transverse
structure for the Lie-Poisson bracket on the dual of the
Virasoro algebra
Gloria Mari Beffa |
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Vol. 163 (1994), No. 1, 43–72
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Abstract |
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KdV equations can be described as Hamiltonian systems on the dual of the Virasoro algebra with the canonical Lie-Poisson (also called Berezin-Kirillov-Kostant) bracket. In this paper we give an explicit transverse structure for this Poisson manifold along a finite dimensional submanifold. The structure is linearizable and equivalent to the Lie-Poisson structure on sl(2,R)∗. This problem is closely related to the classification of Hill’s equations. |
Mathematical Subject Classification 2000
Primary: 58F07
Secondary: 17B68, 22E65
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Milestones
Received: 30 March 1992
Published: 1 March 1994
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Authors |
| Gloria Mari Beffa | |
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