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. H^2 = 0) for formal rigidity. Lastly we describe the results of explicit computations in low-dimensional cases.
The variety of Lie bialgebras
CICCOLI, Nicola;GUERRA, Lucio
2003
Abstract
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. H^2 = 0) for formal rigidity. Lastly we describe the results of explicit computations in low-dimensional cases.File in questo prodotto:
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