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arXiv · 1404.3401

Some homological properties of category O. III

Kevin Coulembier·Volodymyr Mazorchuk
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Abstract

We prove that thick category $\mathcal{O}$ associated to a semi-simple complex finite dimensional Lie algebra is extension full in the category of all modules. We also prove the weak Alexandru conjecture both for regular blocks of thick category $\mathcal{O}$ and the associated categories of Harish-Chandra bimodules, but disprove it for singular blocks.

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Kevin Coulembier, Volodymyr Mazorchuk. 2014-04-13. Some homological properties of category O. III. https://arxiv.org/abs/1404.3401

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