The Local Structure of Lie Bialgebroids |
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| Authors: | Liu Zhang-Ju Xu Ping |
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| Institution: | (1) Laboratory of Pure and Applied Mathematics, Peking University, Beijing, 100871, China;(2) Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, U.S.A. |
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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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| Keywords: | Lie bialgebroids dynamical r-matrix matched pair |
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