A generalisation of the category O of Bernstein-Gelfand-Gelfand

Guillaume Tomasini (1)

1 IRMA - Institut de Recherche Mathématique Avancée

Given a reductive Lie algebra over the complex numbers, we introduce a family of categories which generalises the BGG category O. We also classify the simple modules for some of these categories and prove a semisimplicity result.

Domaines: Théorie des représentations [math.RT]

Guillaume Tomasini. A generalisation of the category O of Bernstein-Gelfand-Gelfand. Comptes Rendus. Mathématique, 2010, ⟨10.1016/j.crma.2010.03.008⟩. ⟨hal-00441560⟩