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arXiv · 0906.2373

Multiplicative Dirac structures on Lie groups

Cristian Ortiz
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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.

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Cristian Ortiz. 2009-06-12. Multiplicative Dirac structures on Lie groups. https://doi.org/10.1016/j.crma.2008.10.003

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