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arXiv · 0912.3242

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

Guillaume Tomasini
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Abstract

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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BibTeXRIS

Guillaume Tomasini. 2009-12-16. A generalisation of the category $\mathcal{O}$ of Bernstein-Bernstein-Gelfand. https://arxiv.org/abs/0912.3242

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