The Local Structure of Lie Bialgebroids

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

13 pages

References in corpus (2)

• Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation
• Notions of double for Lie algebroids