Inequalities from Poisson brackets (Q743974)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities from Poisson brackets |
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Inequalities from Poisson brackets (English)
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2 October 2014
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This paper studies inequalities related to Poisson brackets. First, a notion of tropicalization for Poisson manifolds is introduced. Then the authors associate a polyhedral cone to a certain type of Poisson structures. They define what they call the linear scaling. The example of the dual Poisson Lie group U\((n)^*\) is studied. The authors show in this case the isomorphism with the Gelfand-Zeitlin completely integrable system.
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Poisson structures
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polyedral cone
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Poisson Lie group
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linear scaling
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tropicalization
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Gelfand-Zeitlin system
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