Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semidirect products and the Pukanszky condition   We study the general geometrical structure of the coadjoint orbits of a
semidirect product formed by a Lie group and a representation of this group on
a vector space. The use of symplectic induction methods gives new insight into
the structure of these orbits. In fact, each coadjoint orbit of such a group is
obtained by symplectic induction on some coadjoint orbit of a "smaller" Lie
group. We study also a special class of polarizations related to a semidirect
product and the validity of Pukanszky's condition for these polarizations. Some
examples of physical interest are discussed using the previous methods.

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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an