Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Third-Degree Continuous Cohomology of Simple Lie Groups   We show that the class of connected, simple Lie groups that have
non-vanishing third-degree continuous cohomology with trivial
$\mathbb{R}$-coefficients consists precisely of all simple complex Lie groups
and of $\widetilde{\mathrm{SL}_2(\mathbb{R})}$.

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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph