Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lie algebra that can be written as a sum of two nilpotent subalgebras,
  is solvable   This is an old paper put here for archeological purposes. It is proved that a
finite-dimensional Lie algebra over a field of characteristic p>5, that can be
written as a vector space (not necessarily direct) sum of two nilpotent
subalgebras, is solvable. The same result (but covering also the cases of low
characteristics) was established independently by V. Panyukov (Russ. Math.
Surv. 45 (1990), N4, 181-182), and the homological methods utilized in the
proof were developed later in arXiv:math/0204004. Many inaccuracies in the
English translation are corrected, otherwise the text is identical to the
published version.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph