Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally semisimple and maximal subalgebras of the finitary Lie algebras
  $gl(\infty)$, $sl(\infty)$, $so(\infty)$, and $sp(\infty)$   We describe all locally semisimple subalgebras and all maximal subalgebras of
the finitary Lie algebras $\gl(\infty), \sl(\infty), \so(\infty)$, and
$\sp(\infty)$. For simple finite--dimensional Lie algebras these classes of
subalgebras have been described in the classical works of A. Malcev and E.
Dynkin.
  Key words (2000 MSC): 17B05 and 17B65.

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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: gr-qc