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References
I.Ya. Dorfman, Dirac Structures and Integrability of Nonlinear Evolution Equations, Wiley, Chichester, 1993.
V.G. Drinfel'd, Quantum groups, Proc. ICM, Berkeley 1 (1986), 789–820.
Y. Kosmann-Schwarzbach, Exact Gerstenhaber algebras and Lie bialgebroids, Acta Appl. Math. 41 (1995), 153–165.
Y. Kosmann-Schwarzbach, F. Magri, Poisson-Nijenhuis structures, Ann. Inst. H. Poincaré Phys. Théor. 53 (1990), 35–81.
Z.-J. Liu, M. Qian, Generalized Yang-Baxter equations, Koszul operators and Poisson Lie groups, J. Diff. Geom. 35 (1992), 399–414.
Z.-J. Liu, A. Weinstein, P. Xu, Manin triples for Lie bialgebroids, preprint, 1995.
J.-H. Lu, A. Weinstein, Poisson Lie groups, dressing transformations, and the Bruhat decomposition, J. Diff. Geom. 31 (1990), 501–526.
K.C.H. Mackenzie, P. Xu, Lie bialgebroids and Poisson groupoids, Duke Math. J. 73 (1994), 415–452.
K.C.H. Mackenzie, P. Xu, Integration of Lie bialgebroids, in final preparation.
A. Weinstein, Coisotropic calculus and Poisson groupoids, J. Math. Soc. Japan 40 (1988), 705–727.
A. Weinstein, Affine Poisson structures, Internat. J. Math. 1 (1990), 343–360.
P. Xu, On the Poisson groupoids, Internat. J. Math. 6:1 (1995), 101–124.
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The research of the first author is partially supported by the NSF of China. The research of the second author is partially supported by NSF Grant DMS95-04913, and research at Nankai is partially supported by a grant from the NSF of China.
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Liu, Z.J., Xu, P. Exact lie bialgebroids and poisson groupoids. Geometric and Functional Analysis 6, 138–145 (1996). https://doi.org/10.1007/BF02246770
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DOI: https://doi.org/10.1007/BF02246770