. Dans-cette-partie, nous allons présenter une généralisation de cette construction, duèduè a Kantor [Kan70] et

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. Dans-un and . Temps, on montre que cette géométrie de drapeaux généralisée se réaliseréalisè a l'aide des filtrations de l'algèbre de Lie. Dans le cas particulier o` u l'algèbre de Lie considérée est sl n (R) ou sl n (C), la géométrie de drapeaux généralisée est une variété de drapeaux

. Mots-clé, Algèbres de Lie graduées, Géométries de drapeaux généralisées, Groupe projectifélémentaireprojectifélémentaire, Complétion projective, Calcul différentiel sur un anneau topologique