Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wei-Norman equations for classical groups via cominuscule induction   We show how to reduce the nonlinear Wei-Norman equations, expressing the
solution of a linear system of non-autonomous equations on a Lie algebra, to a
hierarchy of matrix Riccati equations using the cominuscule induction. The
construction works for all reductive Lie algebras with no simple factors of
type G2, F4 or E8. A corresponding hierarchy of nonlinear, albeit no longer
Riccati equations, is given for these exceptional cases.

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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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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: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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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: q-bio
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The categories of this paper are: comp-gas
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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: econ
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The categories of this paper are: ao-sci