paper

Multiplicative Dirac structures on Lie groups

arXiv:0906.2373 · doi:10.1016/j.crma.2008.10.003

Abstract

We study multiplicative Dirac structures on Lie groups. We show that the characteristic foliation of a multiplicative Dirac structure is given by the cosets of a normal Lie subgroup and, whenever this subgroup is closed, the leaf space inherits the structure of a Poisson-Lie group. We also describe multiplicative Dirac structures on Lie groups infinitesimally.

Published in Comptes Rendus Mathematique

Multiplicative Dirac structures on Lie groups · wovepaper