Linearization of Poisson Lie group structures
Differential Geometry
2017-06-14 v1
Abstract
We show that for any coboundary Poisson Lie group G, the Poisson structure on G^* is linearizable at the group unit. This strengthens a result of Enriquez-Etingof-Marshall, who had established formal linearizability of G^* for quasi-triangular Poisson Lie groups G. We also prove linearizability properties for the group multiplication in G^* and for Poisson Lie group morphisms, with similar assumptions.
Keywords
Cite
@article{arxiv.1312.1223,
title = {Linearization of Poisson Lie group structures},
author = {Anton Alekseev and Eckhard Meinrenken},
journal= {arXiv preprint arXiv:1312.1223},
year = {2017}
}