On some formality criteria for DG-Lie algebras
classification
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algebracriteriadg-lieformalformalitysomealgebraschevalley-eilenberg
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We give some formality criteria for a differential graded Lie algebra to be formal. For instance, we show that a DG-Lie algebra L is formal if and only if the natural spectral sequence computing the Chevalley-Eilenberg cohomology H(L,L) degenerates at second page.
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