Dirac structures and Poisson reductions on Poisson groupoids (Q1433687)

The author characterizes Dirac structures on Poissob actions in terms of their characteristic pairs. Using the characteristic pairs introduced by Liu, the author gives a characterization of Dirac structures and provides new proofs of the properties concerning pullback Dirac structures on the actions of Poisson groupoids. Theorems about reduction of Poisson action and Poisson homogeneous space are finally obtained.