Geodesic
The Variety of Lie Bialgebras
Journal of Lie theory, Tome 13 (2003) no. 2, pp. 579-59
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We define a Lie bialgebra cohomology as the total cohomology of a double complex constructed from a Lie algebra and its dual, we show that its 2-cocycles classify Lie bialgebra formal deformations and we prove the usual cohomological condition (i.e. H2 = 0) for formal rigidity. Lastly we describe the results of explicit computations in low-dimensional cases. 
@article{JLT_2003_13_2_JLT_2003_13_2_a16,
     author = {N. Ciccoli and L. Guerra},
     title = {The {Variety} of {Lie} {Bialgebras}},
     journal = {Journal of Lie theory},
     pages = {579--59},
     year = {2003},
     volume = {13},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2003_13_2_JLT_2003_13_2_a16/}
}
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N. Ciccoli; L. Guerra. The Variety of Lie Bialgebras. Journal of Lie theory, Tome 13 (2003) no. 2, pp. 579-59. http://geodesic.mathdoc.fr/item/JLT_2003_13_2_JLT_2003_13_2_a16/