The Local Structure of Lie Bialgebroids
classification
🧮 math.DG
keywords
bialgebroidslocalstructureactionscasesclassicalclassifyconnected
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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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