English

The Local Structure of Lie Bialgebroids

Differential Geometry 2007-05-23 v1

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 rr-matrices and matched pairs induced by Poisson group actions

Keywords

Cite

@article{arxiv.math/0210104,
  title  = {The Local Structure of Lie Bialgebroids},
  author = {Zhang-Ju Liu and Ping Xu},
  journal= {arXiv preprint arXiv:math/0210104},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-07-22T16:48:13.964Z