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The Local Structure of Lie Bialgebroids

2002/10/07 by Zhang-Ju Liu, Ping Xu
Mathematics · #math.DG #msc:53D17 #msc:58H05

paper · pdf

published as Lett. Math. Phys., 61 (2002) 15-28 · 13 pages

arxiv created 2002/10/07 · arxiv updated 2009/11/30

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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