Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some homological properties of category O. III   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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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn