Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Baker--Campbell--Hausdorff series in terms of right-nested
  commutators   We get compact expressions for the Baker--Campbell--Hausdorff series $Z =
\log(\e^X \, \e^Y)$ in terms of right-nested commutators. The reduction in the
number of terms originates from two facts: (i) we use as a starting point an
explicit expression directly involving independent commutators and (ii) we
derive a complete set of identities arising among right-nested commutators. The
procedure allows us to obtain the series with fewer terms than when expressed
in the classical Hall basis at least up to terms of grade 10.

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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: econ
26
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
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph