Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Bott-Borel-Weil theorem for diagonal ind-groups   We establish a theorem computing the cohomology groups of line bundles on
homogeneous ind-varieties $G/B$ for diagonal ind-groups $G$. The main
difficulty in proving this analog of the classical Bott-Borel-Weil theorem is
in defining an appropriate analog $W_B$ of the Weyl group so that the action of
$W_B$ on weights of $G$ is compatible with the analog of the Demazure "action"
of the Weyl group on the cohomology of line bundles.

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The categories of this paper are: atom-ph
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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: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: plasm-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: solv-int
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The categories of this paper are: supr-con
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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: acc-phys
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The categories of this paper are: nlin