A generalisation of the category $\mathcal{O}$ of Bernstein-Bernstein-Gelfand

Details A generalisation of the category $\mathcal{O}$ of Bernstein-Bernstein-Gelfand A generalisation of the category $\mathcal{O}$ of Bernstein-Bernstein-Gelfand

2009-12-16

arxiv.org/abs/0912.3242v1

Mathematics

Representation Theory

Scientific paper

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

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