The Local Structure of Lie Bialgebroids

Details The Local Structure of Lie Bialgebroids The Local Structure of Lie Bialgebroids

2002-10-07

arxiv.org/abs/math/0210104v1

Lett. Math. Phys., 61 (2002) 15-28

Mathematics

Differential Geometry

13 pages

Scientific paper

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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