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The Local Structure of Lie Bialgebroids

Zhang-Ju Liu·Ping Xu
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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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Zhang-Ju Liu, Ping Xu. 2002-10-07. The Local Structure of Lie Bialgebroids. https://arxiv.org/abs/math/0210104

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