Two results on a class of Poisson structures on Lie groups
type: Item
instance of: scholarly article
title: Two results on a class of Poisson structures on Lie groups
zbMATH Open document ID: 0760.58016
DOI: 10.1007/BF02571801
author: Luen-Chau Li
published in: Mathematische Zeitschrift
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/174406
review text: We investigate the Hamiltonian character of the monodromy map with respect to a class of Poisson structures on Lie groups. Under suitable assumptions on the \(r\)-matrix, we also show that the Lie group \(G\) equipped with an associated Sklyanin bracket is globally Poisson diffeomorphic to a Poisson submanifold of \(G^ 2\) equipped with a so- called twisted structure.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 17B66
zbMATH DE Number: 126388
zbMATH Keywords: Hamiltonian
zbMATH Keywords: monodromy map
zbMATH Keywords: Poisson structures on Lie groups
Wikidata QID: Q115391983
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 126388