Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wei-Norman equations for classical groups   We show that the non-linear autonomus Wei-Norman equations, expressing the
solution of a linear system of non-autonomous equations on a Lie algebra, can
be reduced to the hierarchy of matrix Riccati equations in the case of all
classical simple Lie algebras. The result generalizes our previous one
concerning the complex Lie algebra of the special linear group. We show that it
cannot be extended to all simple Lie algebras, in particular to the exceptional
$G_2$ algebra.

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The categories of this paper are: q-alg
1
The categories of this paper are: cs
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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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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: cmp-lg
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci