Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaplygin systems associated to Cartan decompositions of semi-simple Lie
  algebras   We relate a Chaplygin type system to a Cartan decomposition of a real
semi-simple Lie group. The resulting system is described in terms of the
structure theory associated to the Cartan decomposition. It is shown to possess
a preserved measure and when internal symmetries are present these are factored
out via a process called truncation. Furthermore, a criterion for
Hamiltonizability of the system on the so-called ultimate reduced level is
given. As important special cases we find the Chaplygin ball rolling on a table
and the rubber ball rolling over another ball.

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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin