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The Local Structure of Lie Bialgebroids

Zhang-Ju Liu, Ping Xu

math.DGarXiv:math/0210104

Abstract

We study the local structure of Lie bialgebroids at regular points. In particular, we classify all transitive Lie bialgebroids. In special cases, they are connected to classical dynamical r-matrices and matched pairs induced by Poisson group actions

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