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

作者：Tomasini Guillaume^*

来源：Comptes Rendus Mathematique, 2010, 348(9-10): 509-512.

DOI：10.1016/j.crma.2010.03.008

In the study of simple modules over a simple complex Lie algebra, Bernstein, Gelfand and Gelfand introduced a category of modules which provides a natural setting for highest weight modules. In this note, we define a family of categories which generalizes the BGG category. We classify the simple modules for some of these categories. As a consequence we show that these categories are semisimple.

• 出版日期2010-5