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Effacement et déformation

Gérard Rauch — 1972

Annales de l'institut Fourier

Soit $k$ un corps de caractéristique zéro. La variété des algèbres de Lie sur $k$ n’est pas réduite en général. Si $L$ est une algèbre de Lie dimension finie sur $k$ l’application quadratique $S q : H^{2} (L, L) \to H^{3} (L, L)$ se factorise à travers le sous-espace des trois-classes de cohomologie effaçables.

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